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B.4.6 Mathematical Induction, Sequences, and Series
Introduce formal proofs using mathematical induction, illustrated with proofs of various formulas.
Instructional Days
(suggested)
33 - 40 days
Click on subtopics below to see resources from the Ohio Resource Center
a. The logic of proof by induction.
2-3
b. Formulas for adding the first n whole numbers, or their squares.
5-6
c. Arithmetic and geometric sequences.
6-8
d. Arithmetic and geometric series, and their sums.
8-10
e. Pascal’s triangle, Binomial Theorem, Fibonacci numbers, and further induction proofs.
9-10
Review and testing
3
Return to Mathematics Program Model B
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