GATE | GATE CS 2013 | Question 58

What will be the maximum sum of 44, 42, 40, …… ?

(A) 502
(B) 504
(C) 506
(D) 500


Answer: (C)

Explanation: This is a decreasing arithmetic progression with absolute difference as 2. The series is 44, 42, 40 …… 0, -2, -4……

The sum would be maximum if we consider the series till 0 or 2.



So sum would be 506 using the AP Sum formula given here


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