JEE Main & Advanced Mathematics Sequence & Series Question Bank Arithmetic Progression

  • question_answer
    The sum of \[n\] arithmetic means between \[a\] and \[b\], is [RPET 1986]

    A) \[\frac{n(a+b)}{2}\]

    B) \[n(a+b)\]

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

    D) \[(n+1)(a+b)\]

    Correct Answer: A

    Solution :

    The sum of \[n\] arithmetic mean between \[a\] and \[b\] \[=\frac{n}{2}(a+b)\]. Aliter: As we know\[{{A}_{1}}+{{A}_{2}}+......+{{A}_{n}}=nA\], where\[a=A{{R}^{p-1}},\ b=A{{R}^{q-1}}\].


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