College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.2 - Arithmetic Sequences - 9.2 Assess Your Understanding: 16

Answer

common difference = $1$ The first four terms are: $1, 2, 3, 4$

Work Step by Step

To find the first four terms, substitute $1, 2, 3, 4$ for $n$ in the given formula; then, use the rule $e^{(\ln{n})} = n$ to simplify. $s_1 = e^{\ln{1}} = 1$ $s_2= e^{\ln{2}}=2$ $s_3 = e^{\ln3} = 3$ $s_4 = e^{\ln4}=4$ The terms increase by $1$ unit, so the sequence is arithmetic with a common difference of $1$.
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