Answer:
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.
Upon formation of an equation from a given pattern, we know how the variables in the patter are related. Using the equation, we can find the value of one of the missing variables if the rest are known and also predict the values of the pattern at given conditions.
An example:
y = 2x + 5
if we are to predict the value of y at x = 3, we simply substitute 3 into x
y = 2(3) + 5
= 11
We need to cross multiply to find this one.
9/146 = x/100
X100 X100
9 /146 = x
x = 6.164383562
Try 3+x which would be 4 and 7 is greater then 4 because x by its self or and other variable is 1. hope this helped!
Answer: 11 hours.
Step-by-step explanation:
To find how many hours Anatasia needs to work to buy AirPods for $130 simply divide 130/12 which is equal to about 11 hours.