Question

prove that
(2^n + 2^n-1)/(2^n+1 - 2^n) = 3/2​

Answer 1

Answer:

hey hope it helps you.

Step-by-step explanation:

we know,

2n−1=2n2...............(1)

2n+1=2∗2n........................(2)

Given,

(2n+2n−1)(2n+1−2n)

=(2n+2n2)(2∗2n−2n)

Let us consider , 2n=x,

our equation reduces to,

=(x+x2)(2x−x)

=3x2(x)

=32

(2n+2n−1)(2n+1−2n)=32

Hence Proved.