Key Concepts & Glossary
Key Equations
Formula for a factorial |
Key Concepts
- A sequence is a list of numbers, called terms, written in a specific order.
- Explicit formulas define each term of a sequence using the position of the term.
- An explicit formula for the term of a sequence can be written by analyzing the pattern of several terms.
- Recursive formulas define each term of a sequence using previous terms.
- Recursive formulas must state the initial term, or terms, of a sequence.
- A set of terms can be written by using a recursive formula.
- A factorial is a mathematical operation that can be defined recursively.
- The factorial of is the product of all integers from 1 to
Glossary
- explicit formula
- a formula that defines each term of a sequence in terms of its position in the sequence
- finite sequence
- a function whose domain consists of a finite subset of the positive integers for some positive integer
- infinite sequence
- a function whose domain is the set of positive integers
- n factorial
- the product of all the positive integers from 1 to
- nth term of a sequence
- a formula for the general term of a sequence
- recursive formula
- a formula that defines each term of a sequence using previous term(s)
- sequence
- a function whose domain is a subset of the positive integers
- term
- a number in a sequence