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What is the 5th term in the geometric sequence described by this explicit
formula?

an=40 • (-2)^(n-1)

A. 1280
B. -640
c. -1280
D. 640

Respuesta :

The fifth term of the geometric sequence is 640, so the correct option is D.

How to get the fifth term of the given geometric sequence?

Here we have a geometric sequence, such that the terms are given by:

[tex]A_n = 40*(-2)^{(n-1)}[/tex]

To get the 5-th term, we just need to replace n by 5 on the above rule, so we can write:

[tex]A_5 = 40*(-2)^{(5-1)} = 40*(-2)^4 = 640[/tex]

Then the value of the 5-th term is 640, which means that the correct option is D.

If you want to learn more about geometric sequences:

https://brainly.com/question/1509142

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