Chapter 9 Sequence Series and Probability Days 9
Chapter 9 – Sequence, Series, and Probability Days
9. 1 Infinite Sequences and Summation Notation Two days
Sequences � An infinite sequence is a function whose domain is the set of positive integers. � Sequence Notation � Example: Find the first 4 terms of the sequence
Summation and Sigma Notation � Summation, denoted as ∑ (sigma), is used to find the sum of the terms of a sequence.
Summation Example � Find the summation of
Factorials
Simplifying Factorials
Factorial Examples � Find the first 5 terms of
Homework � pg 693 (# 33 -48 all)
Homework � Sequences 9. 1 WS
9. 2 Arithmetic Sequences Two days
Arithmetic Sequence
Finding the nth term of an Arithmetic Sequence
Example � Find the 25 th term of the sequence
Nth Partial Sum of an Arithmetic Sequence � The �A nth partial sum is given by partial sum is the sum of the first n terms of the sequence.
Example � Find the partial sum of the first 15 terms of the sequence
Sequence of Partial Sums
Homework � 11 -1 and 11 -2 WS
9. 3 Geometric Sequences Two days
Geometric Sequences
Finding the nth term of a Geometric Sequence
Example � Find the 5 th term of the sequence
Example � Find the 10 th term of the sequence
Nth Partial Sum of an Geometric Sequence � The nth partial sum is given by
Example � Find the partial sum of the first 25 terms of the sequence
Theorem on the Sum of an Infinite Geometric Series
Homework � 11 -3 and 11 -4 WS
9. 5 The Binomial Theorem Two days
Homework
9. 6 The Fundamental Counting Principal Two days
Homework
9. 7 Permutations and Combinations Two days
Homework
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