Answer
$a_{50}=252$
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:
$a_1 = 7
\\d=5$
Use the formula above to find the 50th term:
$a_n=a_1+(n-1)(d)
\\a_{50}=7 + (50-1)5
\\a_{50}=7+49(5)
\\a_{50}=7+245
\\a_{50}=252$
