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

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

User ShrekDeep
by
7.0k points

2 Answers

6 votes

Answer:

D

Explanation:

User Sachelle
by
6.7k points
4 votes

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)

User KornholioBeavis
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