In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
- 6 , - 2 , 2 , 6 , 10 , ...
Step 02:
arithmetic sequence:
explicit formula:
a1 = - 6
a2 = - 2
d = a2 - a1 = - 2 - (-6) = - 2 + 6 = 4
an = a1 + (n - 1)d
an = - 6 + (n - 1)4
an = - 6 + 4n - 4
an = 4n - 10
The answer is:
an = 4n - 10