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# 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
9
2
. What is the first term?

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Problem by Mr. Twitchell

## Solution

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## 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
1
5
. What is the first term?

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