Try taking it from there.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+…+2n+2(n+1)=n(n+1)+2(n+1).
Ok, so when I solve it it doesn't work. What did I do wrong???