Answer:
-5120 that is Option C is correct.
Step-by-step explanation:
We have been given the explicit formula we need to find the 6th term of the geometric sequence from the given formula.
The formula is:[tex]a_n=-5\cdot (4)^{n-1}[/tex]
To find 6th term we will put n=6 in the formula given we will get:
[tex]a_6=-5\cdot 4^{6-1}[/tex]
After simplification we get:
[tex]a_6=-5\cdot 4^5[/tex]
After further simplification we will get:
[tex]a_6=-5120[/tex]
Therefore, Option C is correct.
