1. The problem statement, all variables and given/known data A) Find the remainder of 2^n and 3^n when divided by 5. B)Conclude the remainder of 2792^217 when divided by 5. C)solve in N the following : 1) 7^n+1 Ξ 0(mod5) 2) 2^n+3^n Ξ 0(mod5) 3. The attempt at a solution A) I know that for the first two I have to get 2^n=5k+r and 3^n=5k+r where r is a remainder, but how do i finish it off?? Do I just chose values of n and keep trying and see what I get or what?? Like for (2^n)/5 so we give n values of 0,1,2,3,4 and then we get n=0 : 1/5 = 0k+1 n=1 : 2/5 = 0k+2 n=2 : 4/5 = 0k+4 n=3 : 8/5 = 1k+3 or 2k-2 n=4 : 16/5 = 3k+1 or 4k-4 Can we say that the remainders are -4,-3,-2,1,2,3,4?