Answer:
The 8th term = -4,096
Step-by-step explanation:
Given:
¼, -1, 4, -16, . . .
Required:
8th term of the sequence
Solution:
1st term = ¼
Common ratio = -1/¼ = 4/-1 = -16/4 = -4
Desired term = 8
Plug in the values into the formula given:
[tex] \frac{1}{4} * -4^{(8 - 1)} [/tex]
[tex] \frac{1}{4} * -4^{7} [/tex]
[tex] \frac{1}{4} * -16,384 [/tex]
[tex] \frac{-16,384}{4} [/tex]
= -4,096
