Question

What is the sum of the geometric series?

Answer 1

Explanation:

The sum of the geometric series is: C - 40

Answer 2

Explanation:

Alright, lets get started.

The given geometric series is :

∑
`(-2)(-3)^(n-1)`

Plugging the value from n = 1 to n = 4

`(-2)(-3)^(1-1)+(-2)(-3)^(2-1)+(-2)(-3)^(3-1)+(-2)(-3)^(4-1)`

taking -2 common factor

`(-2)((-3)^(1-1)+(-3)^(2-1)+(-3)^(3-1)+(-3)^(4-1))`

`(-2)((-3)^(0)+(-3)^(1)+(-3)^(2)+(-3)^(3))`

`(-2)(1+(-3)+(9)+(-27))`

`-2*-20`

`40`

So the answer is 40 : Answer

Hope it will help :)