2. Work out a few values of the second number \(1^n+2^n+3^n\) with n = 1, 2, 3 and 4 . Can you show numbers like this will be even for all values of n?
For what values of n will \(1^n+2^n+3^n+4^n\) be even.
What about \(1^n+2^n+3^n+4^n + 5^n\)?
What can you say about the sums of powers of the counting numbers 1, 2, 3, 4, 5, 6, 7, …p?