Question

Classify the sequence (an) =(-9,-4,1,6,…) as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, choose not enoughinformation

Answer 1

An arithmetic sequence has a common difference.

Let's try if the given sequence has a common difference.

From the problem, we have :

$\mleft\lbrace-9,-4,1,6,\ldots\mright\rbrace$

The differences are :

$\begin{gathered} -4-(-9)=5 \\ 1-(-4)=5 \\ 6-1=5 \end{gathered}$

Since the differences are the same, the sequence is arithmetic.

The answer is Arithmetic Sequence