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The average of five consecutive positive integers is \(n\). If the next two integers are also included, then the average of all these integers will:

1. Increased by 1.5
2. Increased by 1
3. Remain the same
4. Increase by 2

Correct answer: Increased by 1

Solution

If the five consecutive integers are \(x-2, x-1, x, x+1, x+2\), their average is \(x=n\). Adding the next two integers gives \(x+3\) and \(x+4\), so the new average becomes \(x+1\). Thus the average increases by 1.

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