Sequences Review

Front

What is a sequence?

Back

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

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What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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What is a common difference?

Back

The common difference is the fixed amount added to each term in an arithmetic sequence to get the next term.

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What is a geometric sequence?

Back

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 a common ratio?

Back

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

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

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The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

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

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The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

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What is the formula for the arithmetic sequence: -38, -48, -58, -68...?

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The formula is a_n = -38 - 10(n-1).

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What is the 37th term of the arithmetic sequence: -38, -48, -58, -68...?

Back

The 37th term is -398.

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Identify the sequence: 400, 200, 100, 50, 25, ...

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This is a geometric sequence.