Sequences and Series The study of order…..

Suppose you were the “Fry-Guy” at McDonalds for the summer… Summer jobs?

The Graph of your bank account would look like: At your job, you were able to bank $ per week for 8 weeks This relationship can be represented in different ways

Week $

Your pay can also be represented with a function (where we begin) To do this, we need to examine the pattern of the numbers

Examine the following patterns to predict what the next symbol will be…. OTTFF…..

M T W T F S…. JFM A M…

Given any pattern, the simplest progression will be the implication.

These examples are called Sequences 8421… 1827 … 02612… 13579… …

A number sequence is a set of numbers, usually separated by commas, arranged in an order. The first term in t 1, the second term t 2, and so on…

Write the sequence given the formula for the nth term t n = 3n – 2 Find the 10 th term

Write the formula for the given sequence 4,7,10,13

Pg 433 1[a,c,e] 2[a,c,e,g] 3,4 [odd] 5a Do not find the formula

The implicated sum of the terms of any sequence is called a SERIES SERIES … 13579… SEQUENCE

These sequences can be divided into 2 groups….any suggestions? 8421… … 13579… … + X

Arithmetic 8421… 13579… Geometric Add 2 every step Multiply by 0.5

A Geometric Sequence What if your pay was doubled every week? What would the results look like in that case?

Weeks Pay

Week $

… In an arithmetic sequence, terms are generated using a constant common difference

Example 1) The sequence 2,9,16… is given; determine the 20 th term. A Mechanical solution - =2,9,16,23,30,37,…135

Pg 12 1,2 4,5,7,8,9 12,14,15