The recursive definition for the geometric sequence is given as follows:

<h3>What is a geometric sequence?</h3>
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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Answer:
The answer is A
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
Hope it helps!
By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.
In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.
An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.
Add 2z to both sides. you get
6k-2z+2z=12+2z
6k=2z+12
divide both sides by 6
6k/6=2z+12 divide by 6
your answer is k=1/3z+2
i hope it helps!