FM - Unit 1

Question 1

Proof by induction

Answer 1

1. Base case
2. Assume n=k is true
3. Rewrite the n=k+1 case in terms of the n=k case

For divisibility, let the n=k case equal ℕm
For series, the the n=k+1 case is identical to n=k but with an extra term
For matrices, use power laws