Seemingly easy!!

Algebra Level 3

Let a,b,ca,b,c be positive integers such that ba\frac{b}{a} is an integer. If a,b,ca,b,c are in geometric progression and the arithmetic mean of a,b,ca,b,c is b+2,b+2, find the value of

a2+a14a+1.\dfrac{a^2+a-14}{a+1}.

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