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प्रश्न
Prove that:
`(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`
उत्तर
We have to prove that `(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`
Let x = `(2^n+2^(n-1))/(2^(n+1)-2^n)`
`=(2^n(1+1xx2^-1))/(2^n(2^1-1))`
`=(1+1/2)/(2-1)`
`rArrx=3/2`
Hence, `(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`
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