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Sequences, Series, and Proofs

Sequences and Series

Arithmetic Sequences
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p. 92 #6, 8, 10; p. 94 #2, 5, 8-11, 15, 16; p. 97 #2, 3, 5
p. 92 #6, 8, 10; p. 94 #1-4, 7, 8, 10, 13; p. 97 #3-4
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Geometric Sequences
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p. 99 #2-5, 7-10, 12
p. 99#1-4, 6, 8, 10
Financial (and other) applications
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Arithmetic Series
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p. 113 #2, 6-9; p. 115 #4-7, 10-14, 16-18, 21-25
p. 113 #1-5; p. 115 #1-12
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Geometric Series
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p. 120 #1-4, 7-11
p. 120 #1-3, 7
Infinite Series
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p. 124 #2, 6-14
p. 124 #1-2, 5, 9
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Summary and Review
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Counting Principle and Binomial Expansion

Factorials
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Pascal's Triangle
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Counting Principle
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Binomial Expansion
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Book 2 p. 197 #6, 8, 9; p. 199 #1, 2, 7-12 (as needed)
Book 2 p. 197 #5, 6; p. 199 #1, 2, 7, 8
Binomial Expansion when n is a rational number (HL only)
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Book 2 p. 204 #1-5, 11
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Review Material
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Proofs

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Logical connectives
Book 2 p. 213 #1-6
Book 2 p. 213 #1-6
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Proof by Deduction
Book 2 p. 215 #1-6, 8, 9
Book 2 p. 215 #1-5
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Proof Foundation Practice
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Proof by Equivalence
Book 2 p. 218 #1-9
Book 2 p. 218 #1-6
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Definitions
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Book 2 p. 220 #1-7
Book 2 p. 220 #1, 2, 4
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Proof by Exhaustion
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Book 2 p. 223 #2-5
Book 2 p. 223 #3, 4
Disproof by counter example (HL only)
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Book 2 p. 224 #1-5
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Proof by Contrapostivite (supplement from Haese?)
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Proof by Contradiction (HL only)
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p. 229 #1-4
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Proof by Induction - general (HL only)
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Proof by Induction - series (HL only)
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p. 238-248 #8-15, 17
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Proof by Induction - sequence (HL only)
p. 238-248 #16, 18, 19, 21
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Proof by Induction - divisibility (HL only)
p. 238-248 #1-6
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Proof by Induction - inequality (HL only)
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p. 238-248 #28, 31, 32
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Quiz Review
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Induction Test Review (HL only)
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