6.8B– Sum of a Geometric Series

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Presentation transcript:

6.8B– Sum of a Geometric Series Objective: TSW find the sum of a geometric series.

Definitions… Geometric series – the sum of the terms of a geometric sequence. To find the sum of the series…two possible formulas: Given The sum Sn of the first n terms is: a1 and n Sn = a1 and an

Examples: Find the sum of each geometric series. 1. a1 = 16, r = 2 and n =8

2. a1 = -27, r = -1/3 and n = 6

Examples: find the indicated term described. 3. Sn = 300, an = 160, and r = 2; a1

Find the indicated term then the first 3 terms. 4. Sn = 1020, an = 4, and r = 1/2; a1

Homework… Pgs. 700-702 #’s 42-45(all), 51-56(all), 86-89(all)