Geometric Sequences/Series

Front

Define 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

Back

Front

What is a geometric series?

Back

A geometric series is the sum of the terms of a geometric sequence. It can be finite or infinite.

Front

What is the formula for the sum of the first n terms of a geometric series?

Back

Front

Back

Front

Find the common ratio of the sequence: 64, -16, 4, -1, ...

Back

Front

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

Back

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Back

Front

What is the relationship between the common ratio and the terms of a geometric sequence?

Back

The common ratio determines how each term in the sequence is related to the previous term; it is the factor by which we multiply to get from one term to the next.