Answer
$a_{60} = -142$
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 $a_1=35$ and $d=-3$ to obtain:
$a_{60} = 35 + (-3)(60-1)
\\a_{60}= 35 + (-3)(59)
\\a_{60} = 35 + (-177)
\\a_{60} = -142$