Question

Tell whether the sequence is arithmetic if it is identify the common difference -9,-17,-26,-33

Answer 1

No it is not, there is no common difference.

Answer 2

Keywords:

Arithmetic sequence, general term, common difference

For this case we have to identify if the given sequence is arithmetic, for this, we must take into account that by definition the form of the general term of an arithmetic sequence is given by:

`a_ {n} = a_ {1} + (n-1) * d`

Where:

`a_ {n}`: It is the general term

`a_ {1}`: Value of the first term

n: Number of terms

d: Difference

We test if the consecutive terms of the given sequence have the same difference.

`-17 - (- 9) = - 8\\-26 - (- 17) = - 9\\-33 - (- 26) = - 7`

It is observed that the difference is not common, therefore, the given sequence is not arithmetic.

Answer:

The given sequence has no common difference, it is not arithmetic.