Answer
$127$
Work Step by Step
The $n^{th}$ term $a_{n}$ of an arithmetic sequence is given by the formula:
$a_{n} =a_{1}+ (n-1) d$
Where:
$d$ = common difference
$a_{1}$ = first term
$n$ = term number
The common difference d of the arithmetic sequence is:
$d=37-34=3$
The given arithmetic sequence has
$d=3$
$a_{1}=34$
$n=32$
Use the given values and the formula above to find the 32nd term:
$a_{32}= 34 +(32-1) 3$
$a_{32} = 32+3(31)$
$a_{32}=127$
