Find the sum of the following geometric series: `\ sqrt(2)-1/(sqrt(2))+1/(2sqrt(2))- to\ 8\ t e r m s ;`

Explanation

Given,`a=√2`

and `r=−(1/(√2))/(√2)=−1/2`.

we know that `S=a/(1−r)`

putting the values

=`(√2)/(1+1/2)=(2√2)/3`