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mixas84 [53]
3 years ago
14

Write a recursive function for the following geometric sequence ,6,18,54,162

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

f(n + 1) = 3f(n) with a₁ = 6

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = 18 ÷ 6 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

Expressing this as a recursive function then

f(n + 1 ) = 3f(n) with a₁ = 6

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Answer: ∛(3)

Step-by-step explanation:

Suppose that at day 0 the population was A.

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then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:

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This means that this is the first day after the day 0.

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N = 2 is when n = 2/3, then:

P(2) = A*3^(2/3)

The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.

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Answer:

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