arithmetic sequences recursive and explicit

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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.

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

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What is a recursive formula for an arithmetic sequence?

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Front

Identify the common difference in the sequence: 5, 8, 11, 14...

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The common difference is 3, as each term increases by 3.

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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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Front

What is a recursive formula for a geometric sequence?

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Front

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

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To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. To determine if it is geometric, check if the ratio of consecutive terms is constant.

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The first term is 2.

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What is the explicit formula for the sequence: 10, 7, 4, 1...?

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