What is the sum of the geometric series?

Sum of series is 40.

Step-by-step explanation:

Given  : Geometric series .

To find : Sum of geometric series.

Solution : We have given that ∑ n = 1 to 4

For n = 1

=

 = (-2)(1)

 = -2.

For n =2

= .

 = 6.

For n =3

= .

 =  .

 =  (-2)(9).

 = -1.

For n =4

 =  .

 =  .

 =  .

= 54.

Sum of all

+  +  + .

-2 + 6 + (-18) + 54

-2 +6 -18 +54

4 -18+54

-14+54

40.

Therefore, Sum of series is 40.

answer:   14

step-by-step explanation:          

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