Question

Find the sum of the geometric series given a₁ = 2, r = -3, and n = 8.A. 1/2B.-3107OC.-3280D. -3780Reset Selection

Answer 1

The formula to calculate the sum of a geometric sequence is given to be:

`S_n=(a_1(1-r^n))/(1-r)`

The question has the following parameters:

`\begin{gathered} a_1=2 \\ r=-3 \\ n=8 \end{gathered}`

Therefore, the sum will be:

`\begin{gathered} S_8=(2(1-(-3)^8))/(1-(-3)) \\ S_8=-3280 \end{gathered}`

The correct option is OPTION C.