A geometric sequence is shown below. −12,−2,−8,−32,...
What is an explicit representation for the nth term of the sequence?
A. f(n)=12(−4)n
B. f(n)=−12(4)n−1
C. f(n)=−12(4)n
D. f(n)=12(−4)n−1

An explicit representation for the nth term of the sequence:

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

Determining the common ratios of all the adjacent terms

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

Thus, an explicit representation for the nth term of the sequence:

It means, option (B) should be true.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.

the square root of what number? if you add that, then someone will probably answer the question.