Recognizing Patterns Answers

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?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?

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

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)?

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?

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, ...