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COMEDK2017MathematicsMathematical Induction

For all n N, 2 4^ 2 n+1 +3^ 3 n+1 is divisible by

Options

  1. A2
  2. B9
  3. C3
  4. D11

Correct answer

D. 11

Step-by-step solution

Let P(n)=2 4^ 2 n+1 +3^ 3 n+1 P(1) 128+81=209 , which is divisible by 11 only.

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