# Find the sum of the series #(1+1/3)(1+1/3^2)(1+1/3^4)(1+1/3^8)...... oo#?

##### 1 Answer

Sep 8, 2017

See below

#### Explanation:

Multiplying by

The series changes as follows

And this goes on till infinity

Going by the pattern, the series can be written as

Since we multiplied it by

We need to divide it

So,

Therefore the series reduces to