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Question

The sum of even numbers between 1 and 31 is:


Options:
A .  6
B .  28
C .  240
D .  512
Answer: Option C

Let Sn = (2 + 4 + 6 + ... + 30). This is an A.P. in which a = 2, d = 2 and l = 30

Let the number of terms be n. Then,

a + (n - 1)d = 30

   The Sum Of Even Numbers Between 1 And 31 Is:    2 + (n - 1) x 2 = 30

   The Sum Of Even Numbers Between 1 And 31 Is:   n = 15.

The Sum Of Even Numbers Between 1 And 31 Is: Sn = n (a + l) = 15 x (2 + 30) = (15 x 16) = 240. 2 2


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