Question

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year, how long will it take for the value of the computer to be $0?

Answer 1

After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.

The above problem can be solved using concept of arithmetic sequence

The starting value = $1750

After one year = 1750 - 250 = $1500

After second year = 1500 - 250 = $1250

Common difference = 1500 - 1750 = -250

a(n) = 1750 + (n - 1)(-250)

a(n) = 0  (final value is zero given)

0 = 1750 + (n - 1)(-250)

n - 1 = 7

n = 8 years

Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.

Learn more about the sequence here:

brainly.com/question/21961097

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