# 9602 Difference Equation Identify First Order

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| By Anthony Nunan
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Anthony Nunan
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In this quiz, we are trying to identify first order difference equations, and also spotting elements that stop a problem from being a first order difference equation.
The two common forms for a first order difference equation are :
n+1 term on left, n term on right.

or n term on left, n-1 term on the right.

• 1.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. This means that the equation represents a relationship between the current term and the previous term in a sequence, and it is written in a standard format commonly used to represent such equations.

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• 2.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. A first order difference equation is an equation that relates the current value of a variable to its previous value. The common form of a first order difference equation is expressed as y(n) = a*y(n-1) + b, where y(n) is the current value, y(n-1) is the previous value, and a and b are constants. Since the statement follows this form, it can be identified as a first order difference equation in common form.

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• 3.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form because it represents an equation that relates the current value of a variable to its previous value and a constant. The common form of a first order difference equation is expressed as y(n) = a*y(n-1) + b, where y(n) is the current value, y(n-1) is the previous value, a is a constant, and b is a constant.

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• 4.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. A first order difference equation refers to an equation that relates the value of a variable at a certain time to its value at a previous time. The common form of a first order difference equation typically involves the variable at time t+1 on one side of the equation and the variable at time t on the other side, with some coefficients and constants. Therefore, the given statement can be classified as a first order difference equation in common form.

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• 5.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. A first order difference equation refers to an equation that relates a sequence of values to the previous values in the sequence. In this case, the equation is in common form, meaning it is in a standard and recognizable format for first order difference equations.

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• 6.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. A first order difference equation is an equation that relates the value of a variable at a certain time to its value at a previous time. In common form, the equation is written as a linear equation with the variable on one side and constants on the other side. Since the statement does not mention any need for rearranging or state that it is not a first order difference equation, we can conclude that it is a first order difference equation in common form.

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• 7.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form. A first order difference equation is an equation that relates a variable to its past values and possibly other variables. The common form of a first order difference equation is expressed as y(n) = a*y(n-1) + b, where y(n) is the current value of the variable, y(n-1) is the previous value, and a and b are constants. Since the statement follows this form, it can be classified as a first order difference equation in common form.

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• 8.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first order difference equation in common form because it represents an equation that relates the current value of a variable to its previous value. A first order difference equation is characterized by the presence of a single difference operator, which in this case is represented by the "common form" of the equation. The equation may need further rearranging or simplification, but it still follows the basic structure of a first order difference equation.

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• 9.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement suggests that the equation provided is a first order difference equation in common form. This means that the equation represents a relationship between consecutive terms in a sequence, where the difference between the terms is a constant. The common form of a first order difference equation is typically expressed as y[n+1] = a*y[n] + b, where y[n] and y[n+1] are consecutive terms in the sequence, and a and b are constants.

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• 10.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

A. This is a first order difference equation in common form
Explanation
The given statement is a first-order difference equation in common form. A first-order difference equation is an equation that relates the current value of a variable to its previous value and possibly some other terms. In this case, the equation is in common form, which means it is written in a standard format commonly used for first-order difference equations.

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• 11.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given answer suggests that the equation provided is indeed a first order difference equation, but it requires rearranging in order to be in a more suitable form. This implies that the equation may not be in the most simplified or organized format, and some manipulation or rearrangement of terms is necessary to make it more understandable or solvable.

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• 12.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement suggests that the equation provided is indeed a first order difference equation. However, it also states that the equation needs rearranging in order to accurately represent a first order difference equation. This implies that the equation may not currently be in the correct format or order, but with some rearranging, it can be transformed into a valid first order difference equation.

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• 13.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement suggests that the equation is indeed a first order difference equation, but it requires rearranging in order to be in the correct form. This implies that the equation may not be in the standard form or may not follow the usual structure of a first order difference equation. By rearranging the equation, it can be transformed into the proper form of a first order difference equation.

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• 14.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement is a first order difference equation because it represents a relationship between the current value and the previous value of a variable. However, it needs rearranging because the equation is not in its common form. The common form of a first order difference equation is typically expressed as 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.

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• 15.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement is a first order difference equation, but it needs rearranging in order to be in common form.

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• 16.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement is a first order difference equation, but it needs rearranging in order to be in common form.

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• 17.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement is a first order difference equation, but it needs to be rearranged in order to be in a more standard form.

Rate this question:

• 18.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given answer states that the statement is a first order difference equation that needs rearranging. This suggests that the statement is indeed a first order difference equation, but the arrangement of terms needs to be adjusted in order to accurately represent the equation.

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• 19.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement suggests that the equation is indeed a first order difference equation, but it needs to be rearranged in order to accurately represent the equation in a common form.

Rate this question:

• 20.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

B. This is a first order difference equation that needs rearranging
Explanation
The given statement suggests that the equation provided is a first-order difference equation, but it needs to be rearranged in order to accurately represent the equation in common form.

Rate this question:

• 21.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given statement "This is not a first order difference equation at all" suggests that the equation provided does not meet the criteria or characteristics of a first order difference equation. It implies that the equation may not involve discrete time intervals or the relationship between the current term and the previous term is not of first order.

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• 22.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given statement is not a first order difference equation at all. A first order difference equation is a mathematical equation that relates the current value of a sequence to its previous value. However, the statement does not represent any equation or relationship between values, indicating that it is not a first order difference equation.

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• 23.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
This statement suggests that the given equation does not meet the criteria to be classified as a first order difference equation. It implies that the equation may have a different form or may not be a difference equation at all.

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• 24.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given answer states that the statement is not a first order difference equation at all. This means that the equation does not fit the criteria or characteristics of a first order difference equation. It could be a higher order difference equation or a different type of equation altogether. Without further information or context, it is not possible to determine the exact nature of the equation.

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• 25.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
This statement suggests that the given equation does not meet the criteria to be classified as a first order difference equation. It implies that either the equation does not have a difference operator or it does not involve a first order difference.

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• 26.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given statement is "This is not a first order difference equation at all." This means that the equation in question does not fit the criteria or characteristics of a first-order difference equation. It may be a higher-order difference equation or a different type of equation altogether. The statement suggests that the equation needs to be analyzed further to determine its correct classification.

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• 27.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given statement implies that the equation does not meet the criteria of a first-order difference equation. It suggests that the equation may have a higher order or may not be a difference equation at all.

Rate this question:

• 28.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given statement suggests that the equation in question does not fit the criteria of a first order difference equation. It implies that the equation may have a different form or may not be a difference equation at all.

Rate this question:

• 29.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The question asks to select the most accurate statement from the given choices. The correct answer states that the given equation is not a first order difference equation at all. This means that the equation does not fit the criteria or characteristics of a first order difference equation. The other two choices suggest that the equation is a first order difference equation, but one of them mentions that it needs rearranging. However, the correct answer states that the equation does not belong to the category of first order difference equations.

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• 30.

### Select the most accurate statement from the choices below.

• A.

This is a first order difference equation in common form

• B.

This is a first order difference equation that needs rearranging

• C.

This is not a first order difference equation at all

C. This is not a first order difference equation at all
Explanation
The given answer states that the statement is not a first order difference equation at all. This means that the statement does not fit the criteria or characteristics of a first order difference equation.

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• Current Version
• Mar 20, 2023
Quiz Edited by
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• May 26, 2014
Quiz Created by
Anthony Nunan