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Chapter 8: Problem 88

What is a geometric sequence? Give an example with your explanation.

Short Answer

Expert verified
A geometric sequence is a sequence where each term is found by multiplying the preceding term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 4, 8, 16, 32,... the common ratio is 2.

Step by step solution

01

Explain Geometric sequence

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.
02

Common ratio(how to determine it)

The common ratio can be determined in a geometric sequence by dividing any term by the preceding term. The quotient remains constant throughout the sequence.
03

Provide an example

One example of a geometric sequence is 2, 4, 8, 16, 32,... In this sequence, each term is found by multiplying the preceding term by 2. So, the common ratio is 2.

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