For each of the sequences below, the corresponding activity will lead you to explore the nature of induction proofs.

- Sequence
1. a
_{n}= a_{n-1}+ 2*n*with a_{1}= 2. - Sequence
2. a
_{n}= a_{n-1}+ (2*n*- 1) with a_{1}= 1. - Sequence
3. a
_{n}= a_{n-1}+ (*n*+ 4) with a_{1}= 5. - Sequence
4. a
_{n}= a_{n-1}+ (*n*+ 4) with a_{1}= 3.