Question

Prove that{( ^n) +2^n-1}÷{(2^n+1)-2^n}=3÷2

Answer 1

answer :

i have 4 method to solving it but normally i give you 2 method

Step-by-step explanation:

METHOD 1:-

PROOF :-

FIRSTLY TAKE 2^n common from numerator and as well as denominator,then

we get

$=\frac{2^{n}+2^{n}-1}{2^{n}+1-2^{n}}$

take out 2^n common,

we have

=$\frac{(2^{n}*1+\frac{1}{2} )}{2^{n}*(2-1)}$

now upon cancellation of 2^n on both numerator and denominator,we have

$\frac{1+\frac{1}{2} }{2-1}$

=$\frac{3}{\frac{2}{1} } =\frac{3}{2}$

METHOD 2:-

PUT ANY VALUE OF n=0,1,2,3,………….

U SIMPLY GET

=32.

THIS IS SIMPLE APPROACH

Thanks for reading….