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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Principle of Mathematical Induction

  • question_answer
    A student was asked to prove a statement P (n) by induction. He proved that \[P(k+1)\]is true whenever \[P(k)\] is true for all \[k>5\in N\] and also that P (5) is true. On the basis of this he could conclude that P(n) is true

    A) For all \[n\in N\]

    B) For all \[n>5\]

    C) For all \[n\ge 5\]

    D) For all \[n<5\]

    Correct Answer: C

    Solution :

    [c] Since \[P(5)\] is true and \[P(k+1)\] is true, whenever \[P(k)\] is true.


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