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**rbotcaldwell** I have a question and have set up a formula, but I am not sure how to do the induction steps. Each time I try I do it wrong. Can someone help? Here is the question:

Create a proof by mathematical induction that demonstrates that the sum of the first *n* even numbers is equal to *n*(*n + *1).

Here is my equation:

2+4+6+…+n=n(n+1) Be careful!! The n'th even number is 2n, not n.

And what I have come up with:

The first step is 2 = 1(1+1); 2=2 which is true.

Now we assume that f(n)=f(n+1) is true

2+4+6+…+n+(n+1)=n(n+1)+(n+1) Should be 2+4+6+…+**2**n+**2**(n+1)=n(n+1)+**2**(n+1).

Ok, so when I solve it it doesn't work. What did I do wrong???