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