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2 years ago

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

Mathematics

2 answers:

Ivahew [28]2 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]2 years ago

6 0

Answer:

B edge

Step-by-step explanation:

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