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  1. (51 + 52 + 53 + ... + 100) = ?

  2. A.

    2525

    B.

    2975

    C.

    3225

    D.

    3775

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    Answer : Option D

    Explanation :

    Sn = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)

        =\( \frac { 100 } { 2 } \)x (1 + 100)-\(\frac {50 } { 2 }* \) (1 + 50)

    = (50 x 101) - (25 x 51)

        = (5050 - 1275)

        = 3775.


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