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Question

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


Options:
A .  2525
B .  2975
C .  3225
D .  3775
Answer: Option D

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

    = 100 x (1 + 100) - 50 x (1 + 50) 2 2

    = (50 x 101) - (25 x 51)

    = (5050 - 1275)

    = 3775.



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