Discrete Math › Section E · Sequences › Topic E.3
Polynomial sequences
Some sequences are neither arithmetic nor geometric, yet their differences settle into a pattern after a few rounds. Those are exactly the sequences with polynomial closed formulas, and a short table of differences tells you which polynomial to look for.
In this topic
- Counting diagonals
- Reverse and add
- Worked example: an arithmetic sum
- Arithmetic differences give a quadratic
- Difference tables
- The polynomial fitting theorem
- Worked example: fitting a quadratic
- Worked example: the sum of the squares
- Back to the diagonals
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…