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