Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.3 Analyze Geometric Sequences and Series - 12.3 Exercises - Quiz for Lessons 12.1-12.3 - Page 817: 4

Answer

See below

Work Step by Step

We can see this is a geometric sequence with a common ratio of 4 because each successive term is simply the last term multiplied by 4. The next term is simply, $$256*4 = 1024$$ and the nth term is $4^n$.
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