Sequences & Series Review

Front

Define 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 sum of the first n terms of a geometric series?

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Front

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, known as the common difference.

Front

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

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The first four terms are 4, 11, 25, 53.

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What is the formula for the sum of the first n terms of an arithmetic series?

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The sum is 53130.