Are there any options for us to choose or is there none because I could do it backward
We have
a2 = 4
a3 = 2
a4 = 1
calculate the
difference
a3 - a2 = -2
a4 - a3 = -1
The differences
are not equal---------- >the sequence is not arithmetic.
Getting the
ratio:
a3/a2 = 0.5
a4/a3 = 0.5
The common ratio
is 0.5. Using the general form for a geometric series:
an = a1 r^(n-1)
for n = 2----------------
> a2=4
4 = a1 (0.5)^(2-1)
a1 = 8
therefore
an = 8 (1/2)^(n-1)
the answer is an = 8 (1/2)^(n-1)
the answer is none of those indicated in the question
Using a system of equations, it is found that Charlie won $270.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount earned by Linda.
- Variable y: Amount earned by Charlie.
Linda won $10 less than three times as much as Charlie, hence:
x = 3y - 10
Linda won $800, hence the amount won by Charlie is found as follows:
800 = 3y - 10
3y = 810
y = 810/3
y = 270
More can be learned about a system of equations at brainly.com/question/24342899
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You did not complete your question but I think this is what you are looking for. View the image.
Equation:
Total cost = fixed costs + variable costs
2023 = 548 + 29.50x
Solution:
2023 - 548 = 29.50x
(2023 - 548)/29.50 = x
50 = x
