Lesson 1-9 Algebra: Arithmetic Sequences

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Presentation transcript:

Lesson 1-9 Algebra: Arithmetic Sequences

Arithmetic Sequences A Sequence is an ordered list of numbers. Each number in a sequence is called a term. Each term in a sequence has a position. Position 1 2 3 4 5 6 7 Term 9 14 19

In Arithmetic Sequence, each term is found by adding the same number to the previous term. This is the relationship between consecutive terms. Examples (from textbook pg 60-61) Instructions: Describe the relationship between the terms in each arithmetic sequence. Then write the next three (3) terms. #2.) 4, 9, 14, 19, ___, ___, ___ #11) 33, 38, 43, 48, ___, ___, ___

Geometric Sequence In Geometric Sequence, each term is found by multiplying the previous term by the same number. 5, 25, 125, 625, ____ Instructions: Write the next three terms in the geometric sequence #23) 1, 4, 16, 64, ____, ____, ____

Instructions: Find the 100th number in the sequence Instructions: Find the 100th number in the sequence. Make a table and find the equation or Nth term used #27) 12, 24, 36, 48 ________ Position Operation Term Value 1 12 2 24 3 36 4 48 100

Finding the Nth term….. Position Operation Term Value 1 3 2 5 7 4 9 11 6 13 8 Instructions: Find the next three terms in the sequence and then find the expression or nth term.