Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.1 Sequences - Preliminary Questions - Page 537: 4

Answer

a) Defined explicitly, not recursively. b) Defined recursively

Work Step by Step

a) $a_n$ can be computed directly, since it depends on $n$ only and not on preceding terms. b) $b_n$ is computed in terms of the preceding term $b_{n-1}$, hence the sequence ${{b_n}}$ is defined recursively.
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