Answer
$a_{60}=-142$
Work Step by Step
The $n^{th}$ term of an arithmetic sequence can be found using the formula:
$a_n = a_1 + (n-1)d$
where
d = common difference
$a_1$ = first term
$\\a_n= n^{th} \text{ term}$
The given arithmetic sequence has:
$a_1 = 35
\\d=-3$
Use the formula above to find the 60th term:
$a_n=a_1+(n-1)(d)
\\a_{60}=35 + (60-1)(-3)
\\a_{60}=35+59(-3)
\\a_{60}=35+(-177)
\\a_{60}=-142$