2^n+2 - 2^n+1/4x2^n-1 = .....................
\(\frac{2^{n+2}-\,2^{n+1}}{4\,\times\,2^{n-1}}\) = ..................
2n+2 - 2n+1/4x2n-1 = .....................
A) 3
B) – 1
C) 7
D) 1
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Correct option is (D) 1
\(\cfrac{2^{n+2}-2^{n+1}}{4\times2^{n-1}}=\cfrac{2^{n+1}(2-1)}{2^2\times2^{n-1}}=\cfrac{2^{n+1}}{2^{n+1}}=1\)
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