# Chapter 11 - Section 11.2 - Arithmetic Sequences - Exercise Set: 17

$a_6 = 33$

#### Work Step by Step

RECALL: The $n^{th}$ term, $a_n$, of an arithmetic sequence can be found using the formula: $a_n=a_1 + d(n-1)$ where $a_1$ = first term $n$ = term number $d$ = common difference Use the formula with $a_1=13$ and $d=4$ to obtain: $a_6 = 13 + 4(6-1) \\a_6= 13 + 4(5) \\a_6 = 13 + 20 \\a_6 = 33$

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