# How do I find the sum of the infinite geometric series #1/2# + 1 + 2 + 4 +... ?

##### 2 Answers

Jun 5, 2018

see below

#### Explanation:

for a GP the sum to infinity

**only exists if**

for the given GP

Jun 9, 2018

#### Explanation:

You can write the sum of n first terms in the geometric series as

It's a well known fact that

Therefore