Answer
$a_{50} = 252$
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 $a_1=7$ and $d=5$ to obtain:
$a_{50} = 7 + 5(50-1)
\\a_{50}= 7 + 5(49)
\\a_{50} = 7 + 245
\\a_{50} = 252$