Stuck on a homework question with mathematical induction, I just need some help factoring and am getting stuck.
∑1≤j≤nj3=[k(k+1)2]2
The induction part is: [k(k+1)2]2+(k+1)3 is where I am having a problem.
If you could give me some hints as to where to go since I keep getting stuck or writing the wrong equation.
I'll get to [k2+2k2]2+2(k+1)32
Any push in the right direction will be appreciated.
Answer
(k(k+1)2)2+(k+1)3
=k2(k+1)24+(k+1)(k+1)2
=(k+1)24(k2+4k+4)
=(k+1)24(k+2)2
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