1. The problem statement, all variables and given/known data What is the sum of all the even numbers from 0 to 2n, for any positive integer n? 2. Relevant equations does not apply 3. The attempt at a solution On any other day I would be able to solve the problem within seconds. However, my brain is fried beyond repair at the moment. First, I want to know if I understand the question correctly. So, I have the equation "0 to 2n" and when "n = 2" the equation will now be "0 to 4". Now, when I sum up all the even integers do I also include 4 or not? The word "to" is messing it up. I know it is lame but I can't think straight now. I believe that I do include the even values from 0 to 4 when "n=2". If this is the case, the sum will be 2 + 4 = 6. Here are other sum values I have computated: when n = 3, sum is 2 + 4 + 6 = 12 when n = 4, sum is 2 + 4 + 6 + 8 = 20 when n = 5, sum is 2 + 4 + 6 + 8 + 10 = 30 I have be doing my best to develop an equation to satisfy the sum for any positive inter n and the only thing I could come up with is this. given a positive n integer, take (n^n) + n to get the sum of all the even positive integer value Wait. I just figured out the equation! All I am asking assistance for is if I have the correct understanding above. Any suggestions will be nice.