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Stella [2.4K]
2 years ago
5

Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(

n − 1) ⋅ (−4) f(n) = f(n − 1) ⋅ (4)
Mathematics
2 answers:
kumpel [21]2 years ago
7 0

Answer: f(n)=2(-4)^{n-1}

Step-by-step explanation:

The explicit formula for geometric series is given by :_

f(n)=ar^{n-1}

, where r= common ratio.

a= first term.

The given geometric series : 2, −8, 32, −128, …

First term = 2

Common ratio = \dfrac{-8}{2}=-4

Substitute the value of a and r in (1) , we get

f(n)=2(-4)^{n-1}

Hence, the representation of the given geometric series using the explicit formula : f(n)=2(-4)^{n-1}

Stolb23 [73]2 years ago
3 0

Answer:

Option B

Step-by-step explanation:

I did the test and I got it right.

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