Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - 12.2 Analyze Arithmetic Sequences and Series - 12.2 Exercises - Skill Practice - Page 807: 49

Answer

$a_n=-3+5n=5n-3$

Work Step by Step

We know that the general formula of an arithmetic sequence is given by $a_n=a_1+(n-1)d$ Here, we have $a_1=2 ; d=5$ $a_n=a_1+(n-1)d$ This gives: $a_n=2+(n-1) \times 5$ or, $a_n=2+5n-5$ Hence, $a_n=-3+5n=5n-3$
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