So in order to prove this I am asked to first start off by proving fa ≡ fb(mod m) and fa+1 ≡fb+1 (mod m). The question doesn't specify much. I have an idea on how to prove that the residues are periodic, but I'm not sure how to prove that if we take fa (mod m) we will get a Fibonacci number fb.
2026-04-04 04:10:02.1775275802
To prove that the Fibonacci sequence is periodic modulo m for all positive integers m.
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