Recognizing Patterns Answers

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?

Which sequences are geometric? Select three options.

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)?

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

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?

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 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?9, 2.5, –4, –10.5, –17, ...

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