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AP EAMCET202119 Aug 2021Morning ShiftMathematicsBasics of MathematicsActual

n ∈ N then the statement 8 n + 16 ≤ 2 n is true for

Options

  1. An = 2
  2. Bn = 3
  3. Cn = 6
  4. Dn = 5

Correct answer

C. n = 6

Step-by-step solution

Given that, 8 n + 16 ≤ 2 n ⇒ 2 3 n + 2 ≤ 2 n For n = 6 2 3 n + 2 = 2 3 6 + 2 = 2 3 · 2 3 = 2 6 Hence, 8 n + 16 ≤ 2 n is true for n = 6 .

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