Recursive Formulas Answers

What are the first three terms of the sequence defined by the recursive function , when and ?

Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula . At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann had repaid his parents at the end of the first week?

The total number of miles Jeremy walked on a hike can be represented by using the formula . If and n represents the total number of hours walked, what is the total distance Jeremy walked at the end of each of the first three hours?

Which formula can be used to describe the sequence below?–8, –5, –2, 1, 4, ...

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Paige borrows $700 from her parents for a new computer. She repays $100 the first month, and then begins to repay her parents $75 per month. Which recursive formula models the total amount of money still owed, , at the end of the nth month?

What are the first four terms of the sequence defined recursively below?

Which recursive formula describes the pattern in the perimeters of the images, where is the perimeter of the nth image?

What are the first two terms of the sequence defined recursively by the formula , when ?

The amount of money in Nadia’s savings account at the end of n years is represented by the recursive formula . If , what is the balance in Nadia’s account at the end of each of the first two years?