Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
compute the differences of all the adjacent terms
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]
The difference between all the adjacent terms is the same.
Thus,
[tex]d=4[/tex]
and
[tex]a_1=2[/tex]
Therefore, the nth term is computed by:
[tex]a_n=4\left(n-1\right)+2[/tex]
[tex]a_n=4n-2[/tex]
Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
