SOLUTION: Prove that {{{ 2^n + 5^n }}} is divisible by 7, where n is any odd, positive integer.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Prove that {{{ 2^n + 5^n }}} is divisible by 7, where n is any odd, positive integer.      Log On


   



Question 1081560: Prove that +2%5En+%2B+5%5En+ is divisible by 7, where n is any odd, positive integer.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Prove that +2%5En+%2B+5%5En+ is divisible by 7, where n is any odd, positive integer.
--------------
+2%5En+%2B+5%5En+=+%282%2B5%29%2Afactor+ for all positive odd integers.
= 7%2Afactor