Answer:
A.
Step-by-step explanation:
This is a geometric sequence with common ratio -12/-3 = 4 ( -48/-12 = 4 and -192 / -48 = 4).
nth term = a1 r^(n - 1) so the 8th term
= -3 * (4)^(8 - 1)
= -49,152.
The 8th term of the geometric sequence is -768
A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Formula for the n th term of a geometric sequence in the form
aₙ=a₁ rⁿ
Given sequence is -3, -12, -48, -192, . . .
It is a geometric sequence with the ratio between consecutive terms is 4
i.e. r = 4
a₁ = -3
a₈ = -3 ×4⁸
=-768
Thus the 8th term of this sequence is -768
To know more about geometric sequence click here
https://brainly.com/question/13008517
#SPJ2
