How do you determine whether the sequence #10, 8, 6, 4, 2,...# is arithmetic and if it is, what is the common difference?

1 Answer
Jul 28, 2017

Answer:

common difference is#" "-2#

Explanation:

A sequence is arithmetic if the difference between consecutive terms is constant.

That is you add or subtract the same number to get the next term

In this case we have:

#10,8,6,4,2,...#

the differences between each terms are

#10," "8," "6," "4," "2,...#

#" "darr" "darr" "darr" "darr#

#" "-2,-2,""-2," "-2#

the differences are all the same so it is an Arithmetic sequence

the common difference is #-2#