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If a, b, and c are positive integers such that b is divisible by a, and they form a geometric sequence, while their arithmetic mean equals b + 2, what is the value of (a² + a - 14)/(a + 1)?

1. 2
2. 3
3. 4
4. 5

Correct answer: 4

Solution

The correct answer is 4 because we can use the given information about the geometric sequence and arithmetic mean to set up equations and solve for the value of (a² + a - 14)/(a + 1).

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