Modeling Functions Using Finite Differences Answers

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?

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

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

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

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

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?

Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula represents the number of daylilies, a, on the farm after n years. After the fifth year, the farmers estimate they have 2,225 daylilies. How many daylilies were on the farm after the first year?

Which formula can be used to describe the sequence below?

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

What are the first four terms of the sequence modeled by the recursive formula , when ?

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?

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

Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, , at the end of the nth day?