Sequences and equations

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Presentation transcript:

Sequences and equations Section 8.2

Objectives Describe sequences using words and symbols Find terms of arithmetic sequences

Notes Describe Sequences A ___________ is an ordered list of numbers. Each number is called a ________ of the sequence. When the difference between any two consecutive terms is the same, the sequence is called an ___________________. The difference is called the _________________.

Examples Describe each sequence using words and symbols 1. 4, 8,12,16, … 2. 10, 11, 12, 13,…

Notes Finding Terms You can use rules to extend patterns and find other terms. Example: 1. Write an equation that describes the sequence 7, 10, 13, 16, … Then find the 15th term in the sequence. (Use a table to organize)

Examples 2. Write an equation that describes the sequence 5, 8, 11, 14, … Then find the 20th term in the sequence. 3. 10, 11, 12, 13, …; 10th term

EXAMPLES 3. 1, 5, 9, 13, …; 89th term 4. 3, 8, 13, 18, …; 70th term

H.O.T. Problems 1. Write an arithmetic sequence whose common difference is -8. 2. Use an arithmetic sequence to find the number of multiples of 6 between 41 and 523. Justify your reasoning.

ESSENTIAL QUESTION How can arithmetic sequences could be used to make real-world predictions? ________________________________________________________________________________________________________________________________________________________________________________________________________