# Ratio and Term

Pro Problems > Math > Algebra > Functions > Geometric Series## Ratio and Term

The common ratio of an infinite geometric series is a third of the first term. The sum is . What is the first term?

9

2

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Problem by Mr. Twitchell

## Solution

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Click here to assign this problem to your students.## Similar Problems

### Infinite Sum, Partial Sum

The sum of the first three terms of a geometric series is 16 less than the sum of all the terms. The fourth term is 4 more than twice the common ratio. Find the first term.

### Sums to Ten

The sum of an infinite geometric series is 10, and the common ratio is . What is the first term?

1

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