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If a b^2c^3, a^2b^3c^4,a^3b^4c^5 are in ...

If `a b^2c^3, a^2b^3c^4,a^3b^4c^5` are in A.P. `(a ,b ,c >0),` then the minimum value of `a+b+c` is (a) `1` (b) `3` (c) `5` (d) `9`

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