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