Answer
$a_{10}=82$
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:
$a_1 = -8
\\d=10$
Use the formula above to find the 10th term:
$a_n=a_1+(n-1)(d)
\\a_{10}=-8 + (10-1)10
\\a_{10}=-8+9(10)
\\a_{10}=-8+90
\\a_{10}=82$