# How do you find the sum of the infinite geometric series 8 + 4 + 2 + 1 +...?

##### 1 Answer

Mar 3, 2018

#### Explanation:

This converging geometric progression is a special one.

Common multiple is

When you find the sum of this **G.P**

Basically, you need to prove

**Proof:**

Multiply

Subtract

As you increase the value of

There's one more proof which is easy to understand and really amazing.

Given below is a square of side 1unit. First cut it half, then