Sequences

Front

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.

Front

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

Back

Front

What is an arithmetic sequence?

Back

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

Front

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

Back

Front

How do you find the common difference in an arithmetic sequence?

Back

Front

What is the recursive formula for an arithmetic sequence?

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Front

What is the difference between arithmetic and geometric sequences?

Back

In arithmetic sequences, terms are added by a constant (common difference), while in geometric sequences, terms are multiplied by a constant (common ratio).

Front

Given the sequence 2, 6, 18, 54,..., identify the type of sequence.

Back

This is a geometric sequence with a common ratio of 3.

Front

What is the explicit formula for the arithmetic sequence 5, 10, 15, 20,...?

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Front

What is the explicit formula for the geometric sequence 3, 6, 12, 24,...?

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