Mathematics: Find the sum of the geometric series. 8-2+1/2-1/8+ select the best answer from the choices provided a b c d

For a set of data, the minimum, first quartile, median, third quartile, and maximum are the five elements of a five number summary...

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

vardo13

10.03.2022

$Sum=\frac{32}{5}=6.4$

Step-by-step explanation:

we are given geometric series as

$8-2+\frac{1}{2}-\frac{1}{8}+.......$

we can use infinite sum formula

$sum=\frac{a}{1-r}$

where

a is first term

r is common ratio

so, we have

a=8

$r=\frac{-2}{8}$

$r=-\frac{1}{4}$

now, we can plug values

$sum=\frac{8}{1-(-\frac{1}{4})}$

$Sum=\frac{32}{5}=6.4$

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