JEE Main & Advanced AIEEE Solved Paper-2004

  • question_answer
    Let\[S(K)=1+3+5+...+(2K-1)=3+{{K}^{2}}.\]Then, which of the following is true?

    A) S(1) is correct

    B) \[S(K)\Rightarrow S(K+1)\]

    C) \[S(K)S(K+1)\]

    D) Principle of mathematical induction can be used to prove the formula

    Correct Answer: B

    Solution :

    Putin both sides.             and               Putin both sides on the place of K. Let lfis true, then  \[S(K+1)\] is also true. Hence,

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