The mean of the series a,a+d,a+2d,…,a+2nd, is

The mean of the series a,a+d,a+2d,,a+2nd, is

  1. A

    a+(n1)d

  2. B

    a+nd

  3. C

    a+(n+1)d

  4. D

    none of these

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    Solution:

    We have

    Required mean =a+(a+d)+(a+2d)++(a+2nd)2n+1

    =2n+12{2a+(2n+11)d}2n+1=a+nd

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