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Manipal MET2013MathematicsMathematical Induction

The least positive integer n , for which n! ( n+1 2 )^n holds, is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

For n=1, 1! (1)^1 that is, 1 1 is not true. For n=2, 2! ( 3 2 )^1 that is, 2 9 4 is true, By induction, n! ( n+1 2 )^n n N for n 2 . least n=2 .

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