10.1 Sequences

Objectives

1. Find terms of sequences.
2. Find formulas for the nth term of sequences.
3. Determine whether a sequence converges or diverges, and find the limit if it exists.
4. Find limits of recursively defined sequences.
5. Analyse and verify sequence formulas and limits.
6. Prove assertions and theorems related to sequences, their limits, and the definition of convergence.
7. Determine if sequences are monotonic and bounded.
8. Approximate a number using a recursion formula for the sequence.

Checkpoint 8b: Using Logarithms and L'Hopital's Rule to Compute the Limit of a Sequence: https://mediaplayer.pearsoncmg.com/assets/teu14_10_1_8 Links to an external site.

Checkpoint 9: Using Common Limits to Compute Limits of More Complicated Sequences: https://mediaplayer.pearsoncmg.com/assets/teu14_10_1_9 Links to an external site.