SOLUTION: If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP

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Question 1207627: If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP.
let the common difference be d

a = b-d
c = b+d













So they are in AP with common difference %283b%5E2d+-+d%5E3%29

Edwin