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

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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

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Geometry Sequence

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[pic] Finite

[pic] Infinite |r| ................
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