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7.8: Induction and Inequalities

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

!

The factorial of a whole number n is the product of the positive integers from 1 to n. The symbol "!" denotes factorial. n! = 1 \cdot 2 \cdot 3 \cdot 4...\cdot (n-1) \cdot n .

factorial

The factorial of a whole number n is the product of the positive integers from 1 to n. The symbol "!" denotes factorial. n! = 1 \cdot 2 \cdot 3 \cdot 4...\cdot (n-1) \cdot n .

induction

Induction is a method of mathematical proof typically used to establish that a given statement is true for all positive integers.

inequality

An inequality is a mathematical statement that relates expressions that are not necessarily equal by using an inequality symbol. The inequality symbols are <, >, \le, \ge and \ne.

Integer

The integers consist of all natural numbers, their opposites, and zero. Integers are numbers in the list ..., -3, -2, -1, 0, 1, 2, 3...

postulate

A postulate is a statement that is accepted as true without proof.

proof

A proof is a series of true statements leading to the acceptance of truth of a more complex statement.

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Difficulty Level:
At Grade
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Date Created:
Nov 01, 2012
Last Modified:
Mar 23, 2016

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