Geometric Sequences

Overview

Goal. Find the common ratio of a geometric sequence and compute any term with the explicit formula.

Geometric sequence (definition). A sequence in which each term is found by multiplying the previous term by the same number, the common ratio.

Common ratio r and the explicit formula for the nth term.

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Goal. Recognize a geometric sequence, find its common ratio, and use the explicit formula to produce any term.

Geometric sequence (definition). A sequence in which each term is found by multiplying the previous term by the same number, the common ratio.