Question

Find the sum of the geometric series. 8-2+1/2-1/8+...

A.) 220/7
B.)286/13
C.)66
D.)32/5

Answer 1

D

Explanation:

Answer 2

Answer: D.) 32/5

Explanation:

As this geometric series is an infinte series , The Sum of this series can be determined with the help of the formula written below.

`S_(∞) = (a)/(1-r)`

where,

S = Sum of the geometric series

a = First term of the geometric series = 8

r = The common ratio between the terms =
`(-1)/(4)`

Now,

By substituting the values in the above formula we get,

`S_(∞) = (8)/(1-(-1)/(4) )`

=
`(32)/(5)`