Recognizing Patterns Answers

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

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)?

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, …

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

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

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

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

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

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