Recognizing Patterns Answers

What is the common ratio between successive terms in the sequence?27, 9, 3, 1, , , , ...

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.1.5, 2.25, 3.0, 3.75, ...

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.110, 130, 150, 170, ...

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 ratio between successive terms in the sequence?2, –4, 8, –16, 32, –64, ...

A sequence is defined by the recursive function f(n + 1) = –10f(n).

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, ...

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

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

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?

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 recursively using the equation . If f(1)=100, what is f(6)?

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