The common ratio of the geometric sequence [tex]2,3,4.5,6.75[/tex] is [tex]1.5[/tex] .
What is geometric sequence?
Geometric sequence also known as a geometric progression, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. i.e. [tex]r=\frac{a_{k+1} }{a_{k} }[/tex]
What is common ratio ?
Common ratio the number which is multiplied (or divided) at every stage of a geometric sequence.
We have,
geometric sequence [tex]2,3,4.5,6.75[/tex] .
Here,
So,
[tex]a1=2, a2=3,a3=4.5,a4=6.75[/tex]
So,
[tex]r=\frac{a2}{a1} =\frac{3}{2}=1.5[/tex]
Hence, we can say that the common ratio of the geometric sequence [tex]2,3,4.5,6.75[/tex] is [tex]1.5[/tex].
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