Answer:
4, - 2, - 8, - 14
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and a₄ = - 14 , then
a₁ + 3d = - 14 , that is
4 + 3d = - 14 ( subtract 4 from both sides )
3d = - 18 ( divide both sides by 3 )
d = - 6
Then
a₂ = a₁ - 6 = 4 - 6 = - 2
a₃ = a₂ - 6 = - 2 - 6 = - 8
a₄ = a₃ - 6 = - 8 - 6 = - 14
The missing terms are - 2 and - 8
