Recognizing Patterns Answers

A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)?

What is the common difference between successive terms in the sequence?9, 2.5, –4, –10.5, –17, ...

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?5,–1, –7, –13, –19, ...

Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.100, 105, 110.25, ...

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence?

What is the common ratio between successive terms in the sequence?1.5, 1.2, 0.96, 0.768, …

A credit card balance of $800 increases by 2% each month if no payments are made. The balance follows a recursive formula. Which sequence could represent the balance (in dollars)?

An investment account has a balance of $5,000 at the end of the first year, $5,400 at the end of the second year, and $5,832 at the end of the third year. What will the balance be at the end of the fourth year?

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)?

What is the common difference between successive terms in the sequence?2, 8, 14, 20, 26, ...