Proving Induction Principle: Summation k^3 to n = (summation of k to n)^2

[fk378]

Homework Statement

Prove that summation k^3 from k=1 to k=n is equal to (summation of k from k=1 to k=n)^2.

Homework Equations

Induction Principle

The Attempt at a Solution

It is true for k=1, so we must assume it is true for k=n-->then prove true for k=n+1.

Where do I go from here?

 

[Redbelly98]

... we must assume it is true for k=n ...

Can you write out an equation to express that statement ...

... -->then prove true for k=n+1.

... and use it to derive an equation which expresses this 2nd statement.

 

[Defennder]

There's one part of the question where you have to make use of the sum of a arithmetic progression. Just quote that formula, then you can prove it easily. That may be the problem you're having.