# Use the recursive formula for a geometric sequence to find the first five terms of a geometric...

## Question:

Use the recursive formula for a geometric sequence to find the first five terms of a geometric sequence with a starting term of 5 and a common ratio of 7.

## Geometric Sequences:

In mathematics, a geometric sequence, also called a geometric progression, is a list of terms in which each term in the list is a constant multiple of the term preceding it. This constant multiple is called the common ratio of the geometric sequence, and we have a recursive formula involving this common ratio that we can use to find a term of a geometric sequence using the term before it.

## Answer and Explanation:

If a geometric sequence has a starting term of 5 and a common ratio of 7, then the first five terms of the sequence are 5, 35, 245, 1,715, and...

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#### Learn more about this topic:

from High School Precalculus: Help and Review

Chapter 27 / Lesson 26