Question

Determine if the sequence below is arithmetic or geometric and determine thecommon difference / ratio in simplest form.4,2,1,...

Answer 1

An arithmetic progression is a progression where the next term is found by multiplying the previous by a constant number called the common ratio, for the given progression:

`4,2,1`

If we use 1/2 as a common ratio we get:

`\begin{gathered} 2=(4)/(2) \\ 1=(2)/(2) \end{gathered}`

Therefore this is an arithmetic progression and its common ratio is 1/2