Sequences & Series Review

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What is a sequence?

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A sequence is an ordered list of numbers that follow a specific pattern or rule.

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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.

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

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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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What is the formula for the nth term of a geometric sequence?

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What is a recursive rule?

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A recursive rule defines each term of a sequence using the preceding term(s).

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

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What is the sum of the first n terms of an arithmetic sequence?

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What is the sum of a geometric series?

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