9-1 Sequence and Summation Notation
Precalculus: Chapter 8 Sequences, Series, and Probability
Homework Assignments
|Day |Section |Subject |Page |Assignment |Due Date |
| |8.1 |Sequence and Series |587 |12-28 mult of 4; 36; 44-84 mult of 4 | |
| |8.2 |Arithmetic Sequences and Partial Sums |598 |5, 10, 12, 20-80 mult of 5, 81,83 | |
| |8.3 |Geometric Sequences and Series |607 |5-75 mult of 5 | |
| |8.4a |Mathematical Induction |617 |1,3,7,10,11,21,23,43,45,51,56 | |
| |8.4b |Mathematical Induction cont’ |617 |2,4,8,9,12,13,22,24,44,52 | |
| |8.5 |The Binomial Theorem |624 |10-35 mult of 5, 50,55,57,61,65,77,83,90 | |
| |8.6 |Counting Principles |634 |4-20 mult of 4; 32-44 mult of 4; 56-68 mult of 4 | |
| |8.7 |Probability |645 |4-32 mult of 4, 39,41,43,44,58 | |
| |Rev |TBD | |? Pretest | |
Properties of Sums
1. [pic]c is any constant.
2. [pic]
3. [pic]
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5. [pic]
Sequence, Series, and Probability Learning Targets
1. Sequences and Series
What we should learn:
❑ Use sequence notation to write the terms of a sequence
❑ Use factorial notation
❑ Use summation notation to write sums
❑ Find sums of infinite series
❑ Use sequence and series to model and solve real life problems.
2. Arithmetic Sequences
❑ Recognize, write, and find the nth terms of arithmetic sequences
❑ Find the nth partial sums of arithmetic sequences
❑ Use arithmetic sequences to model and solve real life problems
3. Geometric Sequences
❑ Recognize, write, and find the nth terms of geometric sequences
❑ Find the nth partial sums of geometric sequences
❑ Find sums of infinite geometric series
❑ Use geometric sequences to model and solve real life problems
4. Mathematical Induction (two days!)
❑ Use mathematical induction to prove statements involving a positive integer n.
❑ Find the sums of powers of integers
❑ Find finite differences of sequences
5. Binomial Theorem
❑ Use the binomial theorem to calculate binomial coefficients
❑ Use binomial coefficients to write binomial expansions
❑ Use Pascal’s Triangle to calculate binomial coefficients
6. Counting Principles
❑ Solve simple counting problems
❑ Use the fundamental counting principle to solve more complicated counting problems
❑ Use permutations to solve counting problems
❑ Use combinations to solve counting problems
7. Probability
❑ Find probabilities of events
❑ Find probabilities of mutually exclusive events
❑ Find probabilities of independent events
❑ Find probabilities of complements of events
See page 650
Arithmetic Sequence
[pic] or [pic] or [pic]
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Geometry Sequence
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[pic] Finite
[pic] Infinite |r| ................
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