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If a^(2)+2bc,b^(2)+2ac,c^(2)+2ab are in ...

If `a^(2)+2bc,b^(2)+2ac,c^(2)+2ab` are in A.P ., show that
(a) `(1)/(b-c),(1)/(c-a),(1)/(a-b)` are in A.P .
(b) Prove that the sum to n terms of the series `11+103+1005+…. = (10)/(9)(10^(n)-1)+n(2)`.

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