9604 Difference Equations Arithmetic

The first term of the arithmetic sequence is 5. Each subsequent term is obtained by adding 5 to the previous term, resulting in the second term being 10 and the third term being 15. Therefore, the first three terms of the sequence are 5, 10, and 15.

The given arithmetic sequence starts with -4 and each subsequent term is obtained by subtracting 8 from the previous term. Therefore, the next two terms can be found by subtracting 8 from -12 and -20 respectively. Thus, the first three terms of the arithmetic sequence are -4, -12, and -20.

The arithmetic sequence starts with -3 and each term is obtained by subtracting 7 from the previous term. Therefore, the next term would be -3 - 7 = -10, and the term after that would be -10 - 7 = -17.

The given arithmetic sequence starts with -2 and each subsequent term is obtained by subtracting 6 from the previous term. Therefore, the second term is -2 - 6 = -8, and the third term is -8 - 6 = -14.

The first term of the arithmetic sequence is -1. To find the second term, we subtract the common difference (-5) from the first term: -1 - (-5) = -1 + 5 = 4. To find the third term, we again subtract the common difference from the second term: 4 - (-5) = 4 + 5 = 9. Therefore, the first three terms of the arithmetic sequence are -1, 4, and 9.

The first term of the arithmetic sequence is 3. The common difference between each term is 9 (12 - 3 = 9). To find the second term, we add the common difference to the first term: 3 + 9 = 12. To find the third term, we again add the common difference to the second term: 12 + 9 = 21. Therefore, the first three terms of this arithmetic sequence are 3, 12, and 21.

The given sequence starts with 4 and each term increases by 8. So, the next term would be 4 + 8 = 12. Following the same pattern, the next term would be 12 + 8 = 20. Therefore, the first three terms of this arithmetic sequence are 4, 12, and 20.

The given arithmetic sequence starts with -1 and each subsequent term is obtained by subtracting 9 from the previous term. Therefore, the second term is -1 - 9 = -10, and the third term is -10 - 9 = -19.

The first three terms of this arithmetic sequence are -3, -5, and -7. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In this case, the constant difference is -2, as each term is 2 less than the previous term. Starting with -3, we subtract 2 to get -5, and then subtract 2 again to get -7. Therefore, the first three terms of the sequence are -3, -5, and -7.

The first term of the arithmetic sequence is -2. To find the next term, we subtract the common difference, which is 3, from the previous term. So, -2 - 3 = -5. Continuing this pattern, we subtract 3 from -5 to get the third term, which is -8. Therefore, the first three terms of the arithmetic sequence are -2, -5, -8.

The statement "This is an Arithmetic First Order Difference Equation" is false. An arithmetic first order difference equation is a type of mathematical equation that relates the differences between consecutive terms in a sequence. However, the given statement does not provide any specific equation or sequence to analyze, so it cannot be classified as an arithmetic first order difference equation.

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The given statement does not provide any information or context about an arithmetic first-order difference equation. Therefore, it is not possible to determine whether the statement is true or false based on the given information.

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The statement "This is an Arithmetic First Order Difference Equation" is false. An arithmetic first-order difference equation is an equation that relates the difference between consecutive terms in a sequence. However, the given statement does not provide any equation or sequence, so it cannot be classified as an arithmetic first-order difference equation.

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The statement "This is an Arithmetic First Order Difference Equation" is not a correct answer because it is not clear what "this" refers to. The given statement is incomplete and lacks the necessary information to determine whether it is true or false. Therefore, the correct answer is False.

The given statement is false. An arithmetic first order difference equation is a type of mathematical equation that relates the difference between consecutive terms in a sequence. However, the statement does not provide any specific equation or sequence to determine if it is an arithmetic first order difference equation or not. Therefore, we cannot conclude that the statement is true.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that relates the differences between consecutive terms in a sequence. It can be represented as: xn+1 = xn + d, where xn represents the nth term in the sequence and d is the common difference between consecutive terms. Therefore, the statement "This is an Arithmetic First Order Difference Equation" is correct.

The given statement is true. An arithmetic first order difference equation is a type of mathematical equation that describes the relationship between consecutive terms in a sequence. It is characterized by a constant difference between consecutive terms. Therefore, the statement is correct.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that relates consecutive terms in a sequence by a constant difference. This type of equation is commonly used to model linear growth or decay. Therefore, the statement correctly identifies the nature of the equation as an arithmetic first order difference equation.

The given statement is true because an arithmetic first-order difference equation is an equation that relates each term in a sequence to the previous term by a constant difference. This type of equation can be written in the form of y(n) = y(n-1) + d, where y(n) represents the nth term in the sequence, y(n-1) represents the previous term, and d represents the constant difference. Therefore, the statement is correct.

The given statement is true because an arithmetic first order difference equation is a type of equation that describes the relationship between consecutive terms in a sequence. It can be represented as xn+1 = xn + d, where xn is the nth term, xn+1 is the (n+1)th term, and d is the common difference between consecutive terms. This equation shows that each term is obtained by adding the common difference to the previous term, which is the characteristic of an arithmetic sequence. Therefore, the statement is correct.

The given statement is true. An arithmetic first-order difference equation is a type of mathematical equation that relates the values of a sequence to the differences between consecutive terms. It is typically written in the form x(n) = x(n-1) + d, where x(n) represents the nth term of the sequence, x(n-1) represents the previous term, and d represents the common difference between consecutive terms.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that relates the differences between consecutive terms in a sequence. It involves a constant difference between each term, which is a characteristic of an arithmetic sequence. Therefore, the statement is correct.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that describes the relationship between consecutive terms in a sequence. It is characterized by a constant difference between each term in the sequence. Therefore, the statement "This is an Arithmetic First Order Difference Equation" is correct.

The given statement is true. An arithmetic first-order difference equation is a type of mathematical equation that relates the differences between consecutive terms in a sequence. It can be represented as xn+1 = xn + d, where xn represents the nth term, xn+1 represents the (n+1)th term, and d represents the common difference between consecutive terms. Therefore, the given statement is correct.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that describes a sequence where each term is obtained by adding a constant difference to the previous term.

The given statement is true because an arithmetic first order difference equation is a type of mathematical equation that relates the current term of a sequence to the previous term by a constant difference. It is commonly used to model linear relationships or patterns in various fields such as physics, economics, and engineering. Therefore, the statement accurately describes the nature of the equation being discussed.

The given statement is true. An arithmetic first-order difference equation is a type of equation that relates the values of a sequence to its previous terms by a constant difference. It can be represented as xn = xn-1 + d, where xn is the current term, xn-1 is the previous term, and d is the constant difference. This equation is commonly used in mathematical modeling and solving problems involving arithmetic progressions.

The given statement is true. An arithmetic first order difference equation is a mathematical equation that relates the values of a sequence by a constant difference. It is represented as xn+1 = xn + d, where xn is the current term, xn+1 is the next term, and d is the constant difference. This type of equation is commonly used in various fields, such as physics, economics, and computer science, to model real-life situations where the change between consecutive terms is constant.

The given sequence starts with 1 and increases by 7 each time. So, the next term would be 1 + 7 = 8, and the term after that would be 8 + 7 = 15. Therefore, the first three terms of this arithmetic sequence are 1, 8, and 15.

The given sequence is an arithmetic sequence with a common difference of 4. To find the first three terms, we start with the first term, which is 3. Then, we add the common difference of 4 to get the second term, which is 7. Finally, we add 4 again to get the third term, which is 11. Therefore, the first three terms of this arithmetic sequence are 3, 7, 11.

The given arithmetic sequence starts with 2 and each subsequent term is obtained by adding 6 to the previous term. Therefore, the first three terms of this arithmetic sequence are 2, 8, and 14.