The Binomial Theorem
1. Review the Binomial Theorem laws. (See Involution.)
Expand:
2.
3.
4.
5.
6.
7.
8.
Show by observation that the formula for the
9. Indicate what the 97th term of would be.
10. Using the expansion of in (8), derive a formula for the rth term by observing how each term is made up, then generalizing.
Using either the formula in (8) or (10), whichever you are familiar with, find:
11. The 4th term of
12. The 8th term of
13. The middle term of
14. The term not containing x in
15. The term containing in
Reference: The chapter on The Binomial Theorem in any algebra.