Question

The value of

2^n + 2^n-1
----------------

2^n+1 - 2^n




is


(a) 1/2

(b) 3/2

(c) 2/3

(d) 2​

Answer 1

2^(n+2)=2^n*4

2^(n+1)=2^n*2

So

By simplifying it

2^n*4-2^n*2=C*2^n

Taking the 2^n common from the LHS, we get is now

2^n(4-2)=C*2^n

2*2^n=C*2^n

From comparison of LHS & RHS

We find the value of: C=2