I need help...missed class and i am confused...
For n>1, use congruence theory to establish each of the following divisibility statement
13|3^n+2 + 4^2n+1
Hello, terencet!
I have a proof ... hope it's acceptable.
For , use congruence theory to establish: .
We have: .
. . . . . .
. . . . . .
. . . . . .
We raise 1 to an integral power and take the cube root.
. . Its value is 1.
We raise -1 to an odd power and take the cube root.
. . Its value is -1.
The expression becomes: .
Therefore: is divisible by 13.