Question

4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the

Answer 1

Using geometric sequence concepts, it is found that:

a) The rule is: $P_n = 750000(0.5)^{n-1}$.

b) An exponential relationship exists between the two variables.

What is a geometric sequence?

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:

$a_n = a_1q^{n-1}$

In which $a_1$ 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:

$a_1 = 750000, q = 0.5$.

Hence the nth term of the sequence is given by:

$P_n = 750000(0.5)^{n-1}$

More can be learned about geometric sequence concepts at brainly.com/question/11847927

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