SOLUTION: if a, b, c, d are in continued proportion, prove that a^3 + b^3 + c^3 : b^3 + c^3 + d^3 = a : d.

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Question 1035971: if a, b, c, d are in continued proportion, prove that a^3 + b^3 + c^3 : b^3 + c^3 + d^3 = a : d.
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
a, b, c, d in continued proportion ==> a/b = b/c = c/d = k for some constant of proportionality k
==>
==> , , and , and so a,b,c, and d form a geometric sequence.
==>.
BUT, , and so , and the statement is proved.
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