Question

What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+

Answer 1

∴
`(1)/(2) +2+8+32.......12^(th)term` =2796202.5

Explanation:

First term(a) =
`(1)/(2)` common ratio(r) =
`(2)/((1)/(2) )` =4

n= 12

`S_(n)=(a(r^n-1))/((r-1))`

`S_(12)=((1)/(2)(4^(12)-1) )/(4-1)` =2796202.5

∴
`(1)/(2) +2+8+32.......12^(th)term` =2796202.5