Question: prove by induction that 6^n-1 is divisible by 5?
Answer: Proving 6n−1 is always divisible by 5 by induction Prove 6n−1 is always divisible by 5 for n≥1. ... Base Case: n=1: 61−1=5, which is divisible by 5 so TRUE. Assume true for n=k, where k≥1: 6k−1=5P.