Hey, i have a question here that reads: Prove by mathematical induction that 1³ + 1² + ... + n³ = (n²(n+1)²)/4 for any natural number n. Could anyone get me started on this? Any help would be greatly appreciated. Thanks.
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Originally Posted by GreenDay14 Hey, i have a question here that reads: Prove by mathematical induction that 1³ + 1² + ... + n³ = (n²(n+1)²)/4 for any natural number n. Could anyone get me started on this? Any help would be greatly appreciated. Thanks. Don't you mean
Nope, reading it straight out of the book.
the expression doesnt make any sense I will assume the book/you actually want to prove which is true, can you prove this now that I have stated the actual problem or do you still need help
You can look at a similar thread here.
Could you verify the first three steps? For n = 1, n = 2, and n = 3.
I think there might be a typo because in this problem you can't prove the base case for your proposition: If we can't prove the base case, we can't move onto the inductive step.
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