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lara [203]
2 years ago
13

Suppose a scientist reported the following data regarding the presence bacteria during the first four hours of testing for a new

antibiotic:
90.000: 81,000; 72,900; 65,610
Model this sequence recursively
1
2. = 90,000(09)*-*
2
4; = 90,000,4, 0.9(a)
3.
a, 90.000- 9,000(1-1)
4
a = 90,000.0, -, -9,000
Submit Answer
Mathematics
1 answer:
OlgaM077 [116]2 years ago
7 0

The recursive geometric sequence that models this situation is:

f(n) = 0.9f(n-1)

f(1) = 90000

<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.

It can be represented by a recursive sequence as follows:

f(n) = qf(n-1)

With f(1) as the first term.

In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:

q = \frac{65610}{72900} = \cdots = \frac{81000}{90000} = 0.9

f(1) = 90000

Hence:

f(n) = 0.9f(n-1)

f(1) = 90000

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

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