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Arturo starts saving for college by opening a savings account and depositing $50. He plans to make a deposit every month to continue saving.

The amount of money in Arturo's savings account can be modeled by the sequence A0=50, An=An−1 + 25, where n is the number of months since his initial deposit.

What is the domain of the sequence An?

Respuesta :

cfoster461

Answer:

The sequence is a function

Step-by-step explanation:

where n is the number of months since his initial deposits, and A₀=50

The sequence is a function because its domain is a set of natural numbers.

For example,

A₁=A₀+25 =75

A₂=A₁+25=100

A₃=A₂+25=125

A₄=A₃+25=150

Cetacea

The domain is 0, 1, 2, 3, 4, 5,.....

The set of all non-negative integers.

Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]

Domain of this sequence is n = the number of months since the initial deposit.

The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.

So it is the domain of the sequence.

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