Using geometric sequence concepts, it is found that:
a) The rule is:
.
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:

More can be learned about geometric sequence concepts at brainly.com/question/11847927
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Surface area of a ball:
S=4πr^2=4*π*5^2=100π
Volume of a circle:
V=4/3*π*r^3=4/3*π*125=(500/3)*π=165π
The approximate surface-area-to-volume ratio would be 1:1,5
We know, Area = Length * Width
So, with area 42, dimensions could be: 1 * 42
2 * 21
3 * 14
6 * 7
Just draw the lines with that measures, two pair of two equal opposite lines.
Hope this helps!
Think about this, f(x) -> f(3). Look at the chart, x is 3. What number is directly to the right of 3. Your answer is 9.