College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.1 - Sequences and Summation Notation - 8.1 Exercises: 27

Answer

$a_n = 2 + (n-1)2$

Work Step by Step

RECALL: The nth term of an arithmetic sequence is given by the formula: $a_n=a_1+(n-1)d$ where $d$ = common difference $a_1$ = first term $a_n$ = nth term Notice that the terms increase by $2$. This means that the sequence is arithmetic and that the common difference, $d$, is $2$. The first term is $2$ so $a_1=2$. Substitute the values of $a_1$ and $d$ in the given formula above to obtain: $a_n=a_1+(n-1)d \\a_n = 2 + (n-1)2$
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