Answer
$a_{12}=11.5$
Work Step by Step
The $n^{th}$ term of an arithmetic sequence can be found using the formula:
$a_n=a_1+(nā1)d$
where
d = common difference
$a_1$ = first term
$a_n$=$n^{th}$ term
The given arithmetic sequence has:
$a_1=6
\\d=\frac{1}{2}$
Use the formula above to find the 12th term:
$a_n=a_1+(nā1)(d)
\\a_{12}=6+(12-1)(\frac{1}{2})
\\a_{12}=6+11(\frac{1}{2})
\\a_{12}=6+(\frac{11}{2})
\\a_{12}=6+5.5
\\a_{12}=11.5$
