Answer:
n=-9
Step-by-step explanation:
c is the number in the sequence and n is the number you have to multiply by. If the c is 8 you would do -9 times 8.
An explicit formula for the geometric sequence is [tex]a_{n} = (-9).2^{n - 1}[/tex].
The given geometric sequence is -9, -18, -36, -72,....
We need to find an explicit formula for the geometric sequence.
Explicit formulas are always used to represent any term of the sequence, without writing the other terms of the sequence. The meaning of "explicit" is direct, something that can be directly found without knowing the other terms of the sequence. The terms of a sequence can be uniquely represented using a single formula, which is the explicit formula.
Geometric sequence: [tex]a_{n} = ar^{n - 1}[/tex] where 'a' is the first term and 'r' is the common ratio.
From the given sequence a=-9 and r=2.
Now, [tex]a_{n} = (-9).2^{n - 1}[/tex]
Therefore, an explicit formula for the geometric sequence is [tex]a_{n} = (-9).2^{n - 1}[/tex].
To learn more about an explicit formula visit:
https://brainly.com/question/18069156.
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