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KCET2009MathematicsMathematical Induction

If ' n ' is a positive integer, then n ³+2 n is divisible by

Options

  1. A2
  2. B6
  3. C15
  4. D3

Correct answer

D. 3

Step-by-step solution

Let P(n)=n³+2 n array lc & P (1)=1+2=3 & P (2)=8+4=12 & P (3)=27+6=33 array Here, we see that all these numbers are divisible by 3 .

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