Question

please answer my questions

prove that​

Answer 1

Answer:

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

= 2^n (1 +1/2 )  / 2^n ( 2 -1)

= (1+1/2 ) /1

=3/2

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Answer 2

Answer:

$\dfrac{2^n+2^{n-1}}{2^{n+1}-2^n}$

$\text{Taking } \ 2^n \ \text{common}$

$\dfrac{2^n\left(1+2^{-1}\right)}{2^n\left(2-1\right)}$

$\text{Cancelling} \ 2^n$

$\dfrac{\left(1+2^{-1}\right)}{\left(2-1\right)}$

$\text{We know,} \ 2-1=1$

$1+2^{-1}$

$\text{We know,}\ 2^{-1}=\dfrac{1}{2}$

$1+\dfrac{1}{2}$

$\dfrac{2+1}{2}$

$\dfrac{3}{2} \ \ \ \sf{Hence \ Proved}$

$@rohangupta0424$