Question

Is the following sequence arithmetic, geometric or neither 34,28,22,16

Answer 1

Write out the sequence given

`34,28,22,16`

A Geometric sequence is that in which each of the terms differs by a common ratio, r

An Arithemetic sequence is that in which each of the terms differs by a common difference,d

From the sequence given, we have

`\begin{gathered} 28-34=-6 \\ 22-28=-6 \\ 16-22=-6 \end{gathered}`

Since the operations involves is subtraction, hence the sequence is an Arithemetic sequence