Lesson 251 of 1524
4.17 Representing Sequences
An arithmetic sequence is a sequence in which each term is the previous term plus a constant
Practice this chapterAn arithmetic sequence is a sequence in which each term is the previous term plus a constant A geometric sequence is a sequence in which each term is a constant times the previous term
The recursive definition is a function that provides a repeated, or recurring, process to find terms in a sequence
sequence — arithmetic, geometric, or neither. geometric sequence — a sequence in which each term is a constant times the previous term. arithmetic sequence — a sequence in which each term is the previous term plus a constant. recursive definition — a function that provides a repeated, or recurring, process to find terms in a sequence.
Be able to define arithmetic and geometric sequences recursively using function notation; explain to your partner how you are using the information to solve the problem; write a recursive definition for sequence Q.
Worked example
What does “sequence” mean in 4.17 Representing Sequences?
- 1Use the wording this chapter gives for sequence.
- 2The book says: arithmetic, geometric, or neither.
- 3Do not use the meaning of geometric sequence. That term means a sequence in which each term is a constant times the previous term.
Result: arithmetic, geometric, or neither
Why. That is the meaning this chapter gives for sequence.
Do not swap sequence and geometric sequence. sequence means arithmetic, geometric, or neither. geometric sequence means a sequence in which each term is a constant times the previous term.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.