Sum of even numbers from 1 to 100


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Sum of all even numbers between 1 to 100

Answered by admin @



To find the sum of even numbers between 1 and 100, we can use the concept sum of n numbers in A.P.(arithmetic progression)

Here we need sum of 2,4,6,……..,98(between 1 and 100)

Now here First term = 2 difference= 2, n = 50

So now sum of these terms = n/2(2a+(n-1)d)

= 49/2(2*2+(50–1)2)

= 49/2(4+(49)*2)

= 49/2(4+98)

= 49/2(102)

= 49*51

=2550

This can also be done by : (sum of first 100 numbers - sum of odd numbers between 1 and 100) = sum of even numbers between 1 and 100.

Hope it helps you!!!


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