Answer
$a_{14}=11\frac{1}{4}$
Work Step by Step
The nth 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
$a_n=n^{th}$ term
The given arithmetic sequence has:
$a_1=8
\\d=\frac{1}{4}$
Use the formula above to find the 14th term:
$a_n=a_1+(n−1)(d)
\\a_{14}=8+(14−1)(\frac{1}{4})
\\a_{14}=8+13(\frac{1}{4})
\\a_{14}=8+\frac{13}{4}
\\a_{14}=8+3\frac{1}{4}
\\a_{14}=11\frac{1}{4}$
