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Week 4 Warm Up 09.06.11 1) What is the distance between the sequence of numbers? -2, 4, 10, 16, 22, . . . Geometry Sequences Day 1 Arithmetic Sequence I will identify arithmetic and geometric sequences. Add or subtract the same value to the previous term to get the next term. +5 Ex 1 Stating a Rule 3, 8, 13, 18, 23, 28 . . . Use the words “starting with,” “previous,” and “next” in writing your rule Starting with three, five is added to the previous number to come up with the next number. Ex 2 Figure 1 Sequence? Figure 2 Figure 3 Figure # Number of dots 1 2 3 4 5 1 5 9 13 17 +4 1, 5, 9, 13, 17, . . . Rule? Starting with one, four is added to the previous number to come up with the next number. Ex 3 225, 200, 175, 150, . . . Term #1 Term #2 Term #3 Term #4 Term # Term 1 2 3 4 225 200 175 150 125 5 Common difference? Rule? -25 Starting with 225, 25 is subtracted from the previous number to come up with the next number Ex 4 2, 6, 10, 14, . . . Term # Term 1 2 3 4 5 2 6 10 14 18 • • • • • Rule? Starting with 2, 4 is added to the previous number to come up with the next number Do 1: Arithmetic Sequences 6, 16, 23, 37, 51, . . . 1, 5, 9, 13, 17, . . . 3, 6, 12, 24, 48, . . . Geometric Sequence Multiply or divide the same value to the previous term to get the next term. *2 Ex 6 7, 14, 28, 56, 112, 224, . . Term # 1 2 3 4 5 Rule? Term 7 14 28 56 112 Starting with 7, 2 is multiplied to the previous number to come up with the next number Review Do: 2 What is an Arithmetic Sequence? 325, 310, 295, 280, . . . Term #1 Term #2 Term #3 Term #4 Term # Assignment: Term Handout 1.1 CW - Sequences Ex 5 Arithmetic Sequences 6, 17, 28, 39, 50, . . . 1, 5, 9, 14, 20, . . . 2, 6, 18, 54, 162, . . .