187k views
3 votes
Position to term rule of 2, 6, 10, 14, 18

multiply by _____ and subtract by _____

User Raj Rj
by
7.3k points

1 Answer

1 vote

Answer:

Please check the explanation.

Explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as


\:a_n=a_1+\left(n-1\right)d

compute the differences of all the adjacent terms


6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4

The difference between all the adjacent terms is the same.

Thus,


d=4

and


a_1=2

Therefore, the nth term is computed by:


a_n=4\left(n-1\right)+2


a_n=4n-2

Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.

User Mimere
by
7.7k points