Question

solve. 2^n+2^n-1/2^n+1-2^n

Answer 1

Hi ,

( 2^n + 2^n-1 ) / ( 2^n+1 - 2^n )

= [ 2^n + ( 2^n / 2 ) ] / [ 2^n × 2 - 2^n ]

= { 2^n [ 1 + 1/2 ] } / { 2^n [ 2 - 1 ]

= ( 1 + 1/2 ) / 1

= 3/2

I hope this helps you.

: )

Answer 2

Hi...☺

Here is your answer...✌

$\frac{{2}^{n} + {2}^{n - 1} }{ {2}^{n + 1} - {2}^{n} } \\ \\ = \frac{{2}^{n} + {2}^{n} \times {2}^{ - 1} }{ {2}^{n } \times {2}^{1} - {2}^{n} } \\ \\ = \frac{ {2}^{n}(1 + {2}^{ - 1} ) }{ {2}^{n} (2 - 1)} \\ \\ = \frac{1 + \frac{1}{2} }{1} = \frac{2 + 1}{2} \\ \\ = \frac{3}{2}$