Is the following sequence arithmetic? If so, identify the common difference. 2.9, 2.7, 2.5, 2.3, . . .

yes, 2 yes, -0.2 no yes, 0.3

Apr 14, 2017

It is an arithmetic sequence with common difference $- 0.2$.

Explanation:

In an arithmetic sequence, difference between a term and it's immediately preceding term is always constant and is known as common difference.

Here, $2.7 - 2.9 = - 0.2$

$2.5 - 2.7 = - 0.2$ and

$2.3 - 2.5 = - 0.2$

As the difference is constantly $- 0.2$,

It is an arithmetic sequence with common difference $- 0.2$.