Answer
$a_{11}=-50$
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:
$a_1 = 10
\\d=-6$
Use the formula above to find the 11th term:
$a_n=a_1+(n-1)(d)
\\a_{11}=10 + (11-1)(-6)
\\a_{11}=10+10(-6)
\\a_{11}=10+(-60)
\\a_{11}=-50$
