Use induction to show that

Assume is true.

Now what?

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- Jul 20th 2010, 02:41 PMdwsmithInduction
Use induction to show that

Assume is true.

Now what? - Jul 20th 2010, 02:50 PMeumyang
Assume is true.

Show true for n = k + 1:

- Jul 20th 2010, 03:46 PMArchie Meade
K or k+1 is even.

Any amount of an even value is even.

Via induction...

**P(k)**

k(k+1) is even ?

**P(k+1)**

(k+1)(k+2) is even ?

Try to prove that P(k) being true also causes P(k+1) to be true

**Proof**

If P(k) is true, then P(k+1) is true as 2(k+1) is a multiple of 2 and so is even.