Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.1 An Overview - 8.1 Exercises: 72

Answer

a) First Four Terms: $1.5 , 2.25, 3.375, 5.0625$ b) Limit does not exist

Work Step by Step

$$\sum_{k=1}^{\infty} 1.5^k$$ Part A) $a_1 = 1.5^1 = 1.5$ $a_2 = 1.5^2 = 2.25$ $a_3 = 1.5^3 = 3.375$ $a_4 = 1.5^4 = 5.0625$ Part B) The limit seems to not exist because the terms of the sequence are increasing without a bound as $k$ increases.
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