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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Hi there!
To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.
12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.
Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.
~ Hope this helps you!
Answer: The student could use large intervals (what he counts by)
Step-by-step explanation: