Sequence and 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 a series?

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A series is the sum of the terms of a sequence.

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Define 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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How do you find the sum of the first n terms of an arithmetic series?

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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.

Front

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

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What is the sum of a finite geometric series?

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Is the sequence 17, 9, 1, -7 an arithmetic sequence?

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Yes, the sequence is arithmetic because the difference between consecutive terms is constant (-8).

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