Chapter 8, Sequences and Series - Section 8.1 - Sequences and Summation Notation - 8.1 Exercises - Page 601: 28

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

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 $1$ so $a_1=1$. Therefore the nth term of the sequence can be found using the formula: $a_n=1+(n-1)2$

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