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Let a ,b >0, let 5a-b ,2a+b ,a+2b be in ...

Let `a ,b >0,` let `5a-b ,2a+b ,a+2b` be in A.P. and `(b+1)^2, a b+1,(a-1)^2` are in G.P., then the value of `(a^(-1)+b^(-1))` is _______.

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