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The GMAT Math practice question given below is a sequences and series question based on Arithmetic Mean

The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with m+2?

1. m + 4
2. n + 6
3. n + 3
4. m + 5
5. n + 4

The correct choice is (E) and the correct answer is n + 4.

The fastest way to solve problems of this kind is to take numerical examples.

The average of 5 consecutive integers from 1 to 5 is 3. Therefore, the value of m is 1 and the value of n is 3.

Now, the average of 9 consecutive integers starting from m + 2 will be average of integers from 3 to 11.

The average of numbers from 3 to 11 is 7.

Now look at the answer choices. Only choice (E) satisfies this condition.