Algebra 2 Unit 1 Glossary Terms

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Questions and Answers

What is a sequence?

A list of numbers, possibly going on forever (correct)

A geometric shape

A type of function

A fixed number of elements

What is a term in a sequence?

One of the numbers in a sequence.

What is an arithmetic sequence?

A sequence in which each term is the previous term plus a constant.

What is a geometric sequence?

A sequence in which each term is a constant times the previous term. Signup and view all the answers

What defines an integer?

All whole numbers (both positive and negative) and zero. Signup and view all the answers

What is a real number?

A number on the number line. Signup and view all the answers

What is a finite sequence?

A sequence that comes to an end. Signup and view all the answers

What are mathematical representations?

Visible or tangible productions that encode mathematical ideas. Signup and view all the answers

What is function notation?

An equation in the form of 'f(x)=' to show the output of a function. Signup and view all the answers

What does recursive mean?

Characterized by recurrence or repetition. Signup and view all the answers

What does explicit mean?

Clearly stated. Signup and view all the answers

What is an exponential function?

A function described by the equation y = a*b^x, where b > 0 and b ≠ 1. Signup and view all the answers

What is a linear function?

A function in which the graph of the solutions forms a line. Signup and view all the answers

What is a sum?

The answer to an addition problem. Signup and view all the answers

What is a formula?

A mathematical relationship or rule expressed in symbols. Signup and view all the answers

What is a unit?

Amount used to measure something. Signup and view all the answers

What is a common ratio?

The ratio of successive terms of a geometric sequence. Signup and view all the answers

What does quotient refer to?

The result of division. Signup and view all the answers

What is an inequality?

A mathematical sentence that contains less than, greater than, etc. Signup and view all the answers

Study Notes

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.

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Description

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.