Answer:
a₆ = 54
Step-by-step explanation:
The general term of an arithmetic sequence is: [tex]$ a_1, a_1 + d, a_1 + 2d, a_1 + 3d, \hdots $[/tex]
where, [tex]$ a_1 $[/tex] is the first term and
[tex]$ d $[/tex] is the common difference.
The [tex]$ n^{th} $[/tex] term of the sequence is given by [tex]$ a_n = a_1 + (n - 1)d $[/tex].
Therefore, [tex]$ a_6 = a_1 + (6 - 1)d = a_1 + 5d $[/tex]
[tex]$ \implies a_6 = 14 + 5(8) = 14 + 40 $[/tex]
∴ a₆ = 54
