Tantalizing properties of subsequences of the Fibonacci sequence modulo 10

Dan Guyer, aBa Mbirika, Miko Scott

The Fibonacci sequence modulo $m$, which we denote ${\left({\mathcal{F}}_{m,n}\right)}_{n=0}^{\infty }$ where ${\mathcal{F}}_{m,n}$ is the Fibonacci number $F_n$ modulo $m$, has been a well…