# Determine whether the sequence 10,8,6,4,2,... is arithmetic and if it is, what is the common difference

Determine whether the sequence 10,8,6,4,2,... is arithmetic and if it is, what is the common difference
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Cameron Wallace
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,...
$\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}↓\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}↓\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}↓\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}↓$
$\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}-2,-2,\text{}-2,\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}-2$
the differences are all the same so it is an Arithmetic sequence
the common difference is −2