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AP EAMCET201822 Apr 2018Morning ShiftMathematicsBinomial TheoremActual

For any natural number n, (15 5^ 2 n )+ (2 2^ 3 n ) is divisible by

Options

  1. A7
  2. B11
  3. C13
  4. D17

Correct answer

D. 17

Step-by-step solution

We have, (15 5^ 2 n t )+ (2 2^ 3 n t ) For aligned & For aligned n & =1, we get 15 5^2+2 2^3 & =15 25+2 8 & =375+16=391 aligned aligned which is divisible by 17 (15 5^ 2 n )+ (2 2^ 3 n t ) is divisible by 17, n N .

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