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

Sagot :

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:

[tex]4,2,1[/tex]

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

[tex]\begin{gathered} 2=\frac{4}{2} \\ 1=\frac{2}{2} \end{gathered}[/tex]

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

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