Day 1.Explict Formula.Arithmetic and Geometric.17.notebook March 03, 2017 Topic: Sequences Aim: How do we determine if a sequence is arithmetic or geometric? How can we write an explict formula to find the nth term? Do Now: Find the next 3 terms in each sequence: 1) 4, 7, 10, 13, ____, ____, _____,... 2) 3, 9, 27,_____, ______, ______,... Feb 119:48 PM Feb 1110:01 PM 1 Day 1.Explict Formula.Arithmetic and Geometric.17.notebook March 03, 2017 Feb 1110:03 PM Find the common difference or ratio of each sequence. Place each of the given 6 sequences below into the proper column. Arithmetic 13, 10, 7, 4, ... 18, 13, 8, 3, ... Geometric 10, 20, 40, 80, ... 3, 9, 27, 81, ... 24, 12, 6, 3, ... 5, 10, 15, 20, ... Feb 1110:04 PM 2 Day 1.Explict Formula.Arithmetic and Geometric.17.notebook March 03, 2017 1) What is the 10th term in the following sequence? 7, 10, 13, 16, .... What is the 99th term? (Do we really want to continue writing terms until we reach the 99th?) Feb 1110:30 PM Arithmetic Explicit formula an = a1 + (n-1)d Geometric Explicit formula an = a1 rn-1 Feb 1110:35 PM 3 Day 1.Explict Formula.Arithmetic and Geometric.17.notebook Arithmetic Explicit formula an = a1 + (n-1)d March 03, 2017 Geometric Explicit formula an = a1 rn-1 Let's go back to the first example. 1) Write an explicit formula for the following sequence. 7, 10, 13, 16,.... What is the 99th term? Feb 1212:18 PM Arithmetic Explicit formula an = a1 + (n-1)d Geometric Explicit formula an = a1 rn-1 Feb 1110:34 PM 4
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