# ?How do you find the sum of the infinite geometric series 4, 7, 12.25, 21.4375 …?

##### 1 Answer

Dec 21, 2015

The series diverges.

#### Explanation:

Without even considering that it is a geometric series, we can see that the sequence is increasing, and thus its sum will necessarily increase without bound.

For a geometric series

with initial term

A derivation of this formula, along with more information on geometric series, may be found here,

As an aside, we can look at the given series and find that