On solving the provided question, we got to know that - recursive function to model the geometric sequence is 0.25
In order to create a sequence of terms, a recursive function either repeats itself or uses a previous term to compute a new term. An arithmetic-geometric series with terms that differ from each other frequently is used to explain this function.
Given, geometric sequence
24, 6, 1.5
First term of this sequence = 6
a1 = 6
Recursive formula geometric sequence
[tex]a_{n} = a_{(n-1)}r[/tex]
[tex]Here r = common. ratio .of .successive. and previous term\\From .the given .sequence\\[/tex]
r = a2/a1
r = 6/24
r = 0.25
[tex]Recursive formula of the given sequence will be,[/tex]
[tex]a_{n} = a_{(n-1)}(0.25)[/tex]
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