# It's Somewhat Tricky!

Algebra Level 4

Let $$a, b, c$$ are positive integers such that $$\dfrac{b}{a}$$ is an integer. If $$a, b, c$$ are in geometric progression and the arithmetic mean of $$a, b, c$$ is $$b+2$$, then find the value of $$\dfrac{a^{2} + a - 14}{a + 1}$$.

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