If 23 +43+63+............+(2n)3 =kn2(n+1)2, then k=?
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Posted by Amulya Chukka 9 years ago
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Shruti Dadhwal 9 years ago
The sum of cubes of even numbers is equal to 2 n^2 (n+1)^2
So 2^3+ 4^3+ 6^3 +........+2n^2 = 2n^2(n+1)^2
2 n^2 (n+1)^2 = k n^2 (n+1) ^2
Cancelling the common terms, we get
k=2
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