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

Sagot :

SOLUTION

Write out the sequence given

[tex]34,28,22,16[/tex]

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

[tex]\begin{gathered} 28-34=-6 \\ 22-28=-6 \\ 16-22=-6 \end{gathered}[/tex]

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