Can anyone help me prove (k(k-1)/2)^2 by mathematical induction

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- Nov 24th 2007, 11:24 PMhats_06Anyone a pro at proof by mathematical induction?
Can anyone help me prove (k(k-1)/2)^2 by mathematical induction

- Nov 24th 2007, 11:31 PMkalagota
- Nov 25th 2007, 05:48 AMSoroban
Hello, hats_06!

Quote:

Can anyone help me prove (k(k-1)/2)^2 by mathematical induction?

What you're asking is: "Can anyone prove ?"

I recognize the expression.

It may have come from: .

- Nov 25th 2007, 09:43 AMhats_06
yes thats it thanks, would you be able to prove that (by mathematical induction)?

- Nov 25th 2007, 09:58 AMtopsquark
- Nov 25th 2007, 10:01 AMhats_06
Thanks heaps for that!

- Nov 25th 2007, 10:05 AMtopsquark
- Nov 25th 2007, 10:31 AMSoroban
Hello again, hats_06!

I must assume you know the routine for an inductive proof.

Quote:

Prove by induction: .

Assume is true: .

Add to both sides:

. .

The right side is: .

Factor: .

. . .

We have proved

. . The inductive proof is complete.

Ha! . . . Dan beat me to it (again) . . .

.