# How do you find the sum of the infinite geometric series 1-2+4-..+1024?

##### 1 Answer

Dec 2, 2015

Apply the geometric series formula to find

#### Explanation:

Given a geometric series with initial value

(See What is the formula for the sum of a geometric sequence? for a proof)

In our exercise, the first term is clearly

Finally, we can find that

Thus, applying the formula gives us