Section 12 3 Geometric Sequences Geometric Series Copyright Slides: 14 Download presentation Section 12. 3 Geometric Sequences; Geometric Series Copyright © 2013 Pearson Education, Inc. All rights reserved Objectives • • Determine if a sequence is geometric. Find a formula for a geometric sequence. Find the sum of a geometric sequence. Determine whether a geometric series converges or diverges. Copyright © 2013 Pearson Education, Inc. All rights reserved When the ratio of successive terms of a sequence is always the same nonzero number, the sequence is called geometric. Copyright © 2013 Pearson Education, Inc. All rights reserved Geometric Sequence Copyright © 2013 Pearson Education, Inc. All rights reserved Show that the sequence is geometric. List the first term and the common ratio. (a) 2, 8, 32, 128, . . . Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Copyright © 2013 Pearson Education, Inc. All rights reserved Homework 12. 3 #9, 13, 17, 21, 25, 29, 35, 51, 57, 63, 69, 71, 77 Copyright © 2013 Pearson Education, Inc. All rights reserved 10-3 geometric sequences and seriesGeometric recursive formulaSum of gp formulaArithmetic and geometric sequences and seriesSection 7 topic 1 geometric sequencesArithmetic series formulaHow to find recursive formula for arithmetic sequenceRecursive geometric formulaGeometric sequence exponential functionHow do you find the explicit formulaExplicet formulaArithmetic series formulaArithmetic vs geometricFinite geometric series9-1 geometric sequences