Question

Find the sum of the geometric series.

Answer 1

Answer:

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

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

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

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