# How do you find the sum of the infinite geometric series 0.9 + 0.09 + 0.009 +…?

##### 2 Answers

Feb 13, 2016

It will be

#### Explanation:

For instance:

Feb 13, 2016

Apply the geometric series formula for

#### Explanation:

The other answer is correct, but to add how applying the geometric series formula would give the result:

For

(for a short derivation of this formula, see this answer)

Applying this, as