arithmetic and geometric sequences

Front

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 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

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

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Front

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

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Front

What is the common difference in an arithmetic sequence?

Back

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

Front

What is the common ratio in a geometric sequence?

Back

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

Front

Identify if the sequence 3, 7, 11, 15 is arithmetic or geometric.

Back

The sequence is arithmetic because the difference between consecutive terms is constant (4).

Front

Identify if the sequence 2, 6, 18, 54 is arithmetic or geometric.

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The sequence is geometric because each term is multiplied by 3 to get the next term.

Front

What is the explicit formula for the arithmetic sequence 5, 8, 11, 14?

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Front

What is the explicit formula for the geometric sequence 4, 12, 36, 108?

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