Question
`(2^(n + 4) - 2 xx 2^n)/(2 xx 2^((n + 3))) + 2^ -3 ` is equal to :
Answer: Option D
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`(2^(n + 4) - 2 xx 2^n)/(2 xx 2^((n + 3))) + 2^ -3 ` = `(2^(n + 4) - 2^(n + 1))/(2^(n + 4)) + 1/2^3`
= `(2^(n + 1) (2^3 - 1))/(2^(n + 4)) + 1/2^3`
= `(2^(n + 1) xx 7)/(2^(n + 1) xx 2^3) + 1/2^3 ` = `(7/8 + 1/8)` = `8/8` = 1.
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