Q2 of 52 Page 336

Find the sum of integers which are divisible by 2 from 11 to 50.

Given, Sum of integers from 11 to 50

we need to find out the numbers which are divisible by 2


Now, Sum of integers form 1 to N =


Sum of integers divisible by 2 from 11 to 50 = Sum of integers divisible by 2 from 1 to 50 – Sum of integers divisible by 2 from 1 to 49


= (2 + 4 + 6………. + 50) – (2 + 4 + 6…. + 10)


= 2(1 + 2 + 3…… + 25)-2(1 + 2 + .. + 5)



= (25 × 26)-(5 × 6)


= 650 – 30


= 620


Hence, the sum of integers which are divisible by 2 from 11 to 50 is 620


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