# Find the sum of the first n terms of the series #1+2(1+1/n) +3(1+1/n)^2 + 4(1+1/n)^3.......# Using the agp ( arithmerico - geometrico progression ) sum formula?

##### 2 Answers

#### Explanation:

Let us find

We have

**.......(A)**

multiplying each term by

**.......(B)**

Subtracting (B) from (A), we get

=

or

and if

See below.

#### Explanation:

Using the inequality

where

Now calling