Section 12.3 Geometric Sequences; Geometric Series

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Presentation transcript:

Section 12.3 Geometric Sequences; Geometric Series Copyright © 2013 Pearson Education, Inc. All rights reserved

Determine if a sequence is geometric. 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 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

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