Let \( a, b, c \) be positive integers such that \( b / a \) is an ...

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Let \( a, b, c \) be positive integers such that \( b / a \) is an integer. If \( a, b, c \) are in geometric progression and the arithmetic mean of \( a, b, c \) is \( b+2 \), then the value of \( \frac{a^{2}+a-14}{a+1} \) is
\( (2014 \mathrm{Adv}) \)
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