The graphs could be a representation of a geometric
sequence are given by option (A), option (B) and option (D)
What is a geometric sequence?
"It is a sequence in which the ratio between consecutive terms is equal."
For given question,
We need to identify the graphs that could be a representation of a geometric sequence.
A sequence [tex]a_1,a_2,...,a_n[/tex] is geometric sequence if [tex]\frac{a_2}{a_1}=r[/tex],
[tex]\frac{a_3}{a_2}=r[/tex],. . ., [tex]\frac{a_n}{a_{n-1}} = r[/tex]
This means, for geometric sequence the number being multiplied each time is constant.
And the geometric sequence is of the form
[tex]a_1,(a_1r),(a_1r^2),...[/tex]
If we graph the geometric sequence then it would be non-linear.
From above pattern of geometric sequence, we can say that the graph of the geometric sequence is exponential in nature.
Therefore, the graphs could be a representation of a geometric
sequence are given by option (A), option (B) and option (D)
Learn more about the geometric sequence here:
https://brainly.com/question/11266123
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