Recognizing Patterns Answers

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

Which sequences are geometric? Select three options.–2.7, –9, –30, –100, ...–1, 2.5, –6.25, 15.625, ...9.1, 9.2, 9.3, 9.4, ...8, 0.8, 0.08, 0.008, ...4, –4, –12, –20, ...

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?

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, ...

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

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

What is the common difference between successive terms in the sequence?0.36, 0.26, 0.16, 0.06, –0.04, –0.14, ...

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