Bunuel wrote:
What is the difference between the sum of the even integers from 1–100 and the sum of the odd integers from 1–100?
A 0
B 25
C 26
D 50
E 52
1 to 100, 50 even & 50 odd
Apart from that 1st even number 2 to 100
1st odd number 1 to last odd number 99
Sn = n/2 (1st term + last term), since the series will be an AP
Sn(even) = 50/2 * 102
= 50 * 51
Sn(odd) = 50/2 * 100
= 50 * 50
Difference = 50 * (51 - 50)
=50
D
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