Sequence Basics
An ordered list of numbers that often follows a specific rule.
What is a sequence?
The constant amount added to each term to get the next term in an arithmetic sequence.
What is the common difference (d)?
The constant used to multiply one term to get the next in a geometric sequence.
What is the common ratio (r)?
A formula that defines a term based on its position (n) in the sequence.
What is an explicit formula?
The sum of the terms in a sequence.
What is a series?
The individual numbers that make up a sequence.
What are terms?
The type of sequence where the gap between consecutive terms is always the same.
What is an arithmetic sequence?
The next number in the pattern: 3, 6, 12, 24...
What is 48?
A formula that defines a term by using the value of the term before it.
What is a recursive formula?
The famous sequence where each number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8...
What is the Fibonacci sequence?
A sequence that continues forever without ending.
What is an infinite sequence?
The next number in the pattern: 5, 12, 19, 26...
What is 33?
A sequence that grows or shrinks by a fixed percentage or multiplier.
What is a geometric sequence?
The variable usually used to represent the position or "index" of a term.
What is n?
The common ratio of the sequence: 00, 50, 25, 12.5...
What is 1/2 (or 0.5)?