## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 11 - Infinite Series - 11.1 Sequences - Preliminary Questions: 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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