Question

Steph purchases a new laptop. To pay for the laptop, he will make a one-time down payment of $100 and monthly payments of $25
each month.
Write a recursive formula for the total amount Steph has paid towards the cost of the laptop after m months.

Answer 1

The recursive formula for the total amount Steph has paid after m months is $Cost_{m} = Cost_{m - 1} + 25$    .

What is the cost of the laptop after m months?

A recursive formula takes the form of:

aₙ = aₙ₋₁ + d

The total cost in that formula is the cost from the previous month, added to the cost of this month.

The recursive formula for the amount that Steph has paid is therefore:

$Cost_{m} = Cost_{m - 1} + 25$

This shows that the cost in any given month is the total cost in the previous month plus the $25 monthly payment.

Find out more on recursive formulas at https://brainly.com/question/13613109.

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