Sequences

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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.

Front

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

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

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What is the common difference in an arithmetic sequence?

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The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

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What is the common ratio in a geometric sequence?

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The common ratio is the fixed number that each term is multiplied by to get the next term in a geometric sequence.

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How do you determine if a sequence is arithmetic or geometric?

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A sequence is arithmetic if the difference between consecutive terms is constant; it is geometric if the ratio of consecutive terms is constant.

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What is the 12th term of the sequence: 3, -6, 12, -24, 48, ...?

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