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lutik1710 [3]
3 years ago
15

(8CQ) Find the sum of the geometric series. 20-10+5-5/2+...

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

Answer:

b. \frac{40}{3}

Step-by-step explanation:

The given geometric series is;

20-10+5-\frac{5}{2}+...

The first term of this series is

a_1=20

The common ratio is

r=\frac{-10}{20}=-\frac{1}{2}

The sum to infinity of this series is

S_{\infty}=\frac{a_1}{1-r}

Substitute the given values to obtain;

S_{\infty}=\frac{20}{1--\frac{1}{2}}

This implies that;

S_{\infty}=\frac{20}{\frac{3}{2}}

S_{\infty}=\frac{40}{3}

lawyer [7]3 years ago
6 0

Answer:

B edge

Step-by-step explanation:

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