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

Question

yes, 2
yes, -0.2
no
yes, 0.3

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Answer 1 · 2017-04-14T06:17:17

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

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#.