9607 Difference Equations Not First Order

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  • 12th Grade
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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 48,392
| Attempts: 248 | Questions: 66 | Updated: Mar 22, 2025
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Question 1 / 67
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1) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value, and the general form allows for a more flexible representation of the equation. Therefore, the given answer accurately describes the image.

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About This Quiz
9607 Difference Equations Not First Order - Quiz

This is a quick quiz to help hone your skills in identifying First Order Difference Equations.
A first order difference equation in General Form will have the shape :

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2) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the value of a variable at one time period to its value at the previous time period. The general form of a first order difference equation includes the variable, its lagged value, and any constants or coefficients. In the given image, the equation satisfies all the criteria of a first order difference equation in general form.

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3) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the value of a variable at a given time to its value at a previous time. The equation in the image satisfies this definition and is written in a general form, which means it does not specify the specific values or coefficients. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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4) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates a variable to its previous value, and the general form allows for various coefficients and terms. Therefore, the given answer accurately describes the nature of the equation depicted in the image.

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5) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. In this case, the equation is in general form, which means it is not specific to any particular values or variables. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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6) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable, its lagged value, and any constants or coefficients. Since the image shows an equation that satisfies these criteria, it can be identified as a first order difference equation in general form.

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7) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the values of a sequence to the values of the previous terms in the sequence. In this case, the equation is in general form, which means it is not simplified or rearranged. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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8) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. In this case, the equation is in general form, which means it is not simplified or specific to a particular problem. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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9) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the values of a sequence or function at consecutive points. The general form of a first order difference equation includes the current value, the previous value, and a constant or coefficient. In the given image, the equation is in the form that includes these components, making it a first order difference equation in general form.

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10) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. It may include variables, coefficients, and a difference operator. The equation can be expressed as a recursive relationship between the current value and the previous value of a sequence or function. The general form allows for flexibility in representing various types of first order difference equations.

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11) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. In this case, the equation is in general form, which means it is not specific to any particular values or variables. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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12) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the value of a variable at a given time to the value of the variable at a previous time. In this case, the image shows an equation that satisfies this criteria and is written in a general form, which means it is not specific to any particular values or variables. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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13) Which statement best describes the image above :

Explanation

The image above represents a first-order difference equation in general form. A first-order difference equation is an equation that relates the current value of a variable to its previous value. In this case, the equation is in general form, meaning it is not specific to any particular values or coefficients. Therefore, the correct answer is that the image represents a first-order difference equation in general form.

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14) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable, its previous value, and a constant coefficient. Therefore, the given answer accurately describes the nature of the equation shown in the image.

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15) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. A first order difference equation is an equation that relates a sequence of values to their previous values. In this case, the equation is in general form, which means it is not simplified or specific to a particular problem. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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16) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. This means that the equation describes a relationship between the current value and the previous value of a variable, and it is written in a standard format that is commonly used to represent such equations.

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17) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable at time t, the variable at time t-1, and a constant. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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18) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. In this case, the equation is in general form, which means it is not specific to any particular values or variables. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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19) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the values of a sequence or function at consecutive points. The general form of a first order difference equation includes the current value, the previous value, and a constant coefficient. In the given image, the equation is in the form of y[n] = a*y[n-1] + b, where y[n] represents the current value, y[n-1] represents the previous value, and a and b are constant coefficients. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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20) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable, its lagged value, and any constants or coefficients. In the given image, the equation is represented in this general form, indicating that it is a first order difference equation.

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21) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable at time t, the variable at time t-1, and a constant. The image likely shows an equation that follows this general form, indicating that it is a first order difference equation in general form.

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22) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable, its lagged value, and any constants or coefficients. In the image, we can see that the equation satisfies these criteria, indicating that it is a first order difference equation in general form.

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23) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. This can be inferred from the statement "This is a first order difference equation in general form".

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24) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. A first order difference equation is an equation that relates the value of a function at a certain time to its value at the previous time. The general form of a first order difference equation includes the function, its previous value, and any constants or coefficients involved in the equation. Therefore, the statement "This is a first order difference equation in general form" accurately describes the image.

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25) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The general form of a first order difference equation includes the variable, its lagged value, and a constant term. In the given image, the equation is in the form of y[n] = a * y[n-1] + b, where y[n] represents the current value, y[n-1] represents the previous value, and a and b are constants. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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26) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. This can be inferred from the given options where the first option states that it is a first order difference equation in general form, the second option states that it is a first order difference equation but not in general form, and the third option denies it being a first order difference equation at all. Since the correct answer is the first option, it indicates that the image indeed represents a first order difference equation in general form.

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27) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. This can be inferred from the fact that the options mention the possibility of it being a first order difference equation, but only one option specifies that it is in general form. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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28) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation, which means it relates the current value of a variable to its previous value. However, it is not in general form, indicating that it does not follow the standard representation of a first order difference equation.

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29) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation. However, it is not in general form.

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30) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation because it shows a relationship between consecutive terms in a sequence. However, it is not in general form because it does not follow the standard format of y(n+1) = a*y(n) + b.

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31) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation, which means it describes the relationship between consecutive terms in a sequence. However, it is not in general form, which typically includes the dependent variable on one side and the independent variable and any constants on the other side.

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32) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation because it shows an equation that relates the current value of a variable to the previous value. However, it is not in general form because it does not include the specific values or coefficients.

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33) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation, which means it involves the difference between consecutive terms. However, it is not in general form, which typically includes the current term, the previous term, and possibly a constant.

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34) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation because it shows a relationship between consecutive terms in a sequence. However, it is not in general form because it does not follow the standard format of y[n+1] = ay[n] + b.

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35) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation. However, it is not in general form.

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36) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation. However, it is not in general form. The general form of a first order difference equation includes the current value, the previous value, and the difference between them. In the given image, only the current value and the previous value are present, without the difference between them. Therefore, the statement "This is a first order difference equation, but not in general form" accurately describes the image.

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37) Which statement best describes the image above :

Explanation

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38) Which statement best describes the image above :

Explanation

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39) Which statement best describes the image above :

Explanation

The correct answer is "I'm not falling for that one - this isn't a first order DE at all!" because the image does not represent a first order difference equation in any form. It is likely a graph or diagram that does not correspond to a mathematical equation.

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40) Which statement best describes the image above :

Explanation

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41) Which statement best describes the image above :

Explanation

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42) Which statement best describes the image above :

Explanation

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43) Which statement best describes the image above :

Explanation

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44) Which statement best describes the image above :

Explanation

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45) Which statement best describes the image above :

Explanation

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46) Which statement best describes the image above :

Explanation

The image above does not represent a first order difference equation in any form.

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47) Which statement best describes the image above :

Explanation

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48) Which statement best describes the image above :

Explanation

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49) Which statement best describes the image above :

Explanation

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50) Which statement best describes the image above :

Explanation

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51) Which statement best describes the image above :

Explanation

The image does not represent a first order difference equation in any form. Therefore, the correct answer is "I'm not falling for that one - this isn't a first order DE at all!"

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52) Which statement best describes the image above :

Explanation

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53) Which statement best describes the image above :

Explanation

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54) Which statement best describes the image above :

Explanation

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55) Which statement best describes the image above :

Explanation

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56) Which statement best describes the image above :

Explanation

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57) Which statement best describes the image above :

Explanation

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58) Which statement best describes the image above :

Explanation

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59) Which statement best describes the image above :

Explanation

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60) Which statement best describes the image above :

Explanation

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61) Which statement best describes the image above :

Explanation

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62) Which statement best describes the image above :

Explanation

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63) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation in general form. A first order difference equation is an equation that relates the values of a sequence or function at consecutive points, where the difference between the values is determined by a constant coefficient. In this case, the equation is in general form, which means it includes both the current value and the previous value of the sequence or function. Therefore, the correct answer is that the image represents a first order difference equation in general form.

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64) Which statement best describes the image above :

Explanation

The given image represents a first order difference equation in general form. This can be inferred from the fact that the equation is a discrete-time equation that relates the current value of a variable to its previous value, which is a characteristic of a first order difference equation. Additionally, the equation is written in a general form, which means it does not have any specific values or constants plugged in, further supporting the answer choice.

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65) Which statement best describes the image above :

Explanation

The image above represents a first order difference equation, which means it describes a relationship between the current value and the previous value of a variable. However, it is not in general form because it does not follow the standard format for a first order difference equation.

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66) Which statement best describes the image above :

Explanation

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