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The GMAT Math practice question given below is a sequences and series question on even numbers

Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?

1. 2500
2. 5050
3. 11325
4. 6275
5. 2550

The correct choice is (A) and the correct answer is 2500.

SET 1 - (2, 4, 6, 8,...., 50). A total of 25 consecutive even numbers.

SET 2 - (102, 104, 106,....., 150). Another set of 25 consecutive even numbers.

Difference between 1st term of set 1 and set 2 is 100. Difference between 2nd term of set 1 and set 2 is 100 and so on.

So total difference is (100 + 100 + 100 + ....) = 25*100 = 2500.