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

  • question_answer
    The sum of the series 1\[\times \]3+3\[\times \]5+5\[\times \]7+..to  n terms is

    A) \[\frac{n(4{{n}^{2}}+6n)-1}{3}\]

    B) \[\frac{n(n+1)(n+2)}{2}\]

    C) \[\frac{(2n+1)(n+1)}{2}\]

    D) \[\frac{{{n}^{2}}+1}{4}\]

    Correct Answer: A


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