9/23 C.W. Unit 1 Test Review Arithmetic and Geometric Sequences

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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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What is a geometric sequence?

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A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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How do you find the explicit formula for an arithmetic sequence?

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How do you find the explicit formula for a geometric sequence?

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What is the common difference in the sequence: 5, 10, 15, 20, ...?

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The common difference is 5, as each term increases by 5.

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What is the common ratio in the sequence: 3, 9, 27, 81, ...?

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The common ratio is 3, as each term is multiplied by 3 to get the next term.

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What is the 5th term of the arithmetic sequence: 2, 5, 8, ...?

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The 5th term is 14.

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What is the 4th term of the geometric sequence: 1, 2, 4, 8, ...?

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The 4th term is 8.

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How do you calculate the nth term of an arithmetic sequence?

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How do you calculate the nth term of a geometric sequence?

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