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Manipal MET2017MathematicsMathematical Induction

If P(n) is a statement such that P(3) is true. Assuming P(k) is true P(k+1) is true for all k 3 , then P(n) is true

Options

  1. Afor all n
  2. Bfor n 3
  3. Cfor n 4
  4. DNone of these

Correct answer

B. for n 3

Step-by-step solution

Since, P(3) is true. Assume P(k) is true P(k+1) is true means, if P(3) is true P(4) is true P(5) is true and so on. So, statement is true for all n 3 .

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