Find the 18th term in the following arithmetic sequence:

-2,-6,-10,-14

-70

Step-by-step explanation:

First of all, find the pattern. In this case it is a linear one pattern (meaning the numbers are increasing of decreasing by the same number each time).

To figure this out the easiest way is to do each number minus the number before it.

E. g. - 6 - (-2) = -4

-10 - (-6) = -4

-14 - (-10) = -4

This shows that the pattern is a decrease by 4 (meaning that each subsequent number in the pattern will be 4 less than the one before it).

Next the most simple way to find the answer is to just continue counting your way through the pattern until you get to the 18th number.

So;

-2, - 6, - 10, - 14, - 18, - 22, - 26, - 30, - 34, - 38, - 42, - 46, - 50, - 54, - 58, - 62, - 66, - 70

So the 18th number in the pattern is - 70