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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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