Answer:
see explanation
Step-by-step explanation:
there is a common difference between consecutive terms , that is
6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2
this indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 8 and d = - 2 , then
[tex]a_{n}[/tex] = 8 - 2(n - 1) = 8 - 2n + 2 = - 2n + 10
then
a₁₄ = - 2(14) + 10 = - 28 + 10 = - 18
