Recognizing Patterns Answers

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

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?0.36, 0.26, 0.16, 0.06, –0.04, –0.14, ...

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

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