13.3 Arithmetic and Geometric Series and Their Sums Finite Series

Objectives : 1. Identify Arithmetic and Geometric series 2. Find sums of Arithmetic and Geometric Series Vocabulary : Series, Arithmetic, Geometric 13.3 Arithmetic and Geometric Series

Sequences VS. Series Sequences – list of numbers Series – sum of a sequence

Arithmetic Series The formula for the sum of the first n terms of an arithmetic sequence, starting with n = 1, is:

x x 6 353

Find n for the series in which 5 x y n = 16

Geometric Series The Formula for the sum of the first n terms of a geometric sequence with first term a 1 and common ratio r, is given by:

1/2 7 x

x

Assignment Textbook p #1-9 odd, 35, 37