The recursive definition for the geometric sequence is given as follows:
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
The recursive definition of a geometric sequence is given by:
In this problem, we have that the first term and the common ratio are given, respectively, by:
.
Hence the recursive definition is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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