Arithmetic and Geometric Sequences

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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. This difference is called the common difference (d).

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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 common difference in 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 (r).

Front

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

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How do you find the common ratio in a geometric sequence?

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What is the first term of the sequence 45, 40, 35, 30, ...?

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The first term (a_1) of the sequence is 45.

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The 200th term is 1,015.

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The 11th term is 63.

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The first four terms are 4, 20, 100, 500.