Two sequences A={a0,a1,a2,…} andB={b0,b1,b2,…} are defined as follows: \[a0=0, a1=1, an=an−1+bn−2forn≥2\]\[b0=1, b1=2, bn=an−2+bn−1forn≥2\]What is the remainder when a50+b50 is divided by 5?
I got it!