SOLUTION: I am needing help with this proof. I am very confused. Prove or disprove: for every natural number n, 1^3+3^3+5^3+...+(2n-1)^3=n^2(2n^2-1).

Algebra ->  Proofs -> SOLUTION: I am needing help with this proof. I am very confused. Prove or disprove: for every natural number n, 1^3+3^3+5^3+...+(2n-1)^3=n^2(2n^2-1).       Log On


   



Question 1069607: I am needing help with this proof. I am very confused.
Prove or disprove: for every natural number n,
1^3+3^3+5^3+...+(2n-1)^3=n^2(2n^2-1).

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the lesson
    - Mathematical induction for sequences other than arithmetic or geometric
in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".