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

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