Question
(51 + 52 + 53 +.....................+ 100) = ?
Answer: Option D
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` S_n` = ( 1 +2 + 3+..............+ 50 + 51 + 52 +.........+ 100) - (1 + 2 +3 +.........+50)
= `100/2` x (1+ 100) - `50/2` x ( 1 +50) = ( 50 x 101) - (25 x 51) = (5050 - 1275) = 3775
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