Given:
The geometric sequence is:

1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and
.
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:



Putting
in (i), we get
where 
Therefore, the correct option is B.
The value of HI for the given line segment will be 10 units.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line segment HJ
IJ = 2 units
HJ = 12 units
Since,
HJ = HI + IJ
HI = HJ - IJ
HI = 12 - 2
HI = 10 units.
Hence "The value of HI for the given line segment will be 10 units".
For more about line segment,
brainly.com/question/25727583
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First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
putting time into years for simplicity,
4 months ÷ 12 months/year = 0.333333 years,
then, solving our equation
I = $ 376.00
I = 18800 × 0.06 × 0.333333 = 375.999624
I = $ 376.00
The simple interest accumulated
on a principal of $ 18,800.00
at a rate of 6% per year
for 0.333333 years (4 months) is $ 376.00.
The answer is C. 75. Hope this helps.