Algebra Midterm Review

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

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How do you find the common difference in an arithmetic sequence?

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The common difference can be found by subtracting any term from the subsequent term. For example, in the sequence 2, 5, 8, the common difference is 5 - 2 = 3.

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What is the formula for the nth term of an arithmetic sequence?

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What is a recursive formula?

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How do you write an equation to represent a situation?

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What is the first term of the arithmetic sequence 18, 24, 30, 36?

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The first term of the sequence is 18.

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How do you find the 18th term in an arithmetic sequence?

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What is the common difference in the sequence 6, 9, 12, 15, 18?

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The common difference is 3, found by subtracting any two consecutive terms, e.g., 9 - 6 = 3.

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What is the next term in the sequence 6, 9, 12, 15, 18?

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The next term is 21, found by adding the common difference (3) to the last term (18).

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How do you represent a linear relationship in an equation?

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