Algebra 2 Unit 1 Glossary Terms

Sequences

• A sequence is an ordered list of numbers, potentially infinite, such as the sequence of odd positive integers: 1, 3, 5, 7, ...

Terms of a Sequence

• A term refers to an individual number within a sequence.

Types of Sequences

• An arithmetic sequence is defined by each term being the sum of the previous term and a constant value.
• A geometric sequence is formed by multiplying the previous term by a constant value.

Number Types

• Integers include all whole numbers, comprising positive numbers, negative numbers, and zero.
• A real number is any number that can be found on a number line, encompassing both rational and irrational numbers.

Sequence Characteristics

• A finite sequence has a definitive end, as opposed to infinite sequences which continue indefinitely.

Mathematical Representations

• Mathematical representations include various forms like diagrams, number lines, graphs, equations, or physical models that illustrate mathematical concepts.

Function Notation

• Function notation employs an expression like 'f(x)=' to signify the output of a function for a particular input x.

Recursive and Explicit Definitions

• A recursive definition involves a process that repeats, while an explicit definition is one that is clearly stated without ambiguity.

Types of Functions

• An exponential function follows the structure y = a * b^x, where b is a positive constant not equal to 1.
• A linear function produces a graph that forms a straight line.

Mathematical Operations

• The sum is the total obtained from adding numbers together.
• A formula articulates a mathematical relationship using symbols.

Measurement and Ratios

• A unit denotes a measure of quantity.
• The common ratio in a geometric sequence is the factor by which consecutive terms are multiplied.
• A quotient results from dividing one number by another.

Inequalities

• An inequality is a mathematical statement that indicates the relationship between values, utilizing symbols for less than, greater than, or equality.

Explore key glossary terms from Illustrative Math Algebra 2 Unit 1. This quiz covers important concepts such as sequences and types of sequences. Test your understanding of essential algebra vocabulary through engaging flashcards.