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

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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