Question:medium

The value of the greatest integer k satisfying the inequation $2^{n+4} + 12 \geq k(n+4)$ for all $n \in N$ is

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When an inequality of the form $k \leq f(n)$ must hold for all $n$ in a set, $k$ must be less than or equal to the minimum value of $f(n)$ over that set. To find the minimum, test the first few values or use calculus to analyze the function's behavior.

Updated On: Mar 30, 2026

7
8
9
10

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The Correct Option is B

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