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melamori03 [73]
4 years ago
10

What is the explicit formula for the geometric sequence with the recursive formula?

Mathematics
2 answers:
Margaret [11]4 years ago
8 0
A is the answer for this question
IrinaVladis [17]4 years ago
7 0

Answer:

Option A. a_{n}=(-7)(\frac{1}{3} )^{n-1}

Step-by-step explanation:

Recursive formula of the geometric sequence is given as a_{1}=(-7)

and a_{n}=\frac{1}{3}(a_{n-1})

From these formulas it is clear that first term of the sequence a1 = -7

and common ratio of the sequence = \frac{1}{3}

Since explicit formula of any geometric sequence is represented by

a_{n}=a_{1}(r)^{n-1}

Therefore, a_{n}=(-7)(\frac{1}{3} )^{n-1} will be the explicit formula of the given geometric sequence.

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