Prove that if A = ½(15+√197), then 7 is a factor of [A^n] for all positive integer values of n, where [w] denotes the greatest integer less than or equal to w.
IF A = 1/2*(15+V197) LET B=1/2*(15-V197)
I ERASED THE ERRONEOUS SEQUEL
WILL TRY FOR ANOTHER SOLUTION
HOW ABOUT A HINT??
Edited on February 26, 2007, 8:14 am