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Q.
(51 + 52 + 53 + .........+100) is equal to
A.
3775
B.
3776
C.
3777
D.
3778
E.
None of the above
View Answer
Correct choice: A
Explanation:
51 + 52 + 53 + ...........+ 100 = (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50) = It is in the form of n(n+1)2 series summation = n1 = 100 , n2 = 50 =[100(100+1)2] − [50(50+1)2] = (5050 - 1275) = 3775
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