Algebra Foundations
Algebra Foundations
2nd Edition
ISBN: 9780135257500
Author: Martin-Gay
Publisher: PEARSON
bartleby

Concept explainers

Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations …
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to …
bartleby

Videos

Question
Book Icon
Chapter 21.5, Problem 53ES
To determine

To show that (nn)=1 for any whole number n .

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 21.5, Problem 52ES
Next
Chapter 21.5, Problem 54ES

Chapter 21 Solutions

Algebra Foundations

Ch. 21.1 - Use the choices below to fill in each blank....Ch. 21.1 - Prob. 2VRVCCh. 21.1 - Prob. 3VRVCCh. 21.1 - Prob. 4VRVCCh. 21.1 - Prob. 5VRVCCh. 21.1 - Prob. 6VRVCCh. 21.1 - Prob. 1ESCh. 21.1 - Prob. 2ESCh. 21.1 - Prob. 3ESCh. 21.1 - Prob. 4ES
Ch. 21.1 - Prob. 5ESCh. 21.1 - Prob. 6ESCh. 21.1 - Prob. 7ESCh. 21.1 - Prob. 8ESCh. 21.1 - Prob. 9ESCh. 21.1 - Write the first five terms of each sequence, whose...Ch. 21.1 - Prob. 11ESCh. 21.1 - Prob. 12ESCh. 21.1 - Prob. 13ESCh. 21.1 - Prob. 14ESCh. 21.1 - Prob. 15ESCh. 21.1 - Prob. 16ESCh. 21.1 - Prob. 17ESCh. 21.1 - Prob. 18ESCh. 21.1 - Find the indicated term for each sequence, whose...Ch. 21.1 - Prob. 20ESCh. 21.1 - Prob. 21ESCh. 21.1 - Prob. 22ESCh. 21.1 - Prob. 23ESCh. 21.1 - Prob. 24ESCh. 21.1 - Prob. 25ESCh. 21.1 - Find the indicated term for each sequence, whose...Ch. 21.1 - Prob. 27ESCh. 21.1 - Prob. 28ESCh. 21.1 - Prob. 29ESCh. 21.1 - Prob. 30ESCh. 21.1 - Prob. 31ESCh. 21.1 - Prob. 32ESCh. 21.1 - Prob. 33ESCh. 21.1 - Prob. 34ESCh. 21.1 - Find a general term an for each sequence, whose...Ch. 21.1 - Prob. 36ESCh. 21.1 - Prob. 37ESCh. 21.1 - Prob. 38ESCh. 21.1 - Prob. 39ESCh. 21.1 - Prob. 40ESCh. 21.1 - Prob. 41ESCh. 21.1 - Prob. 42ESCh. 21.1 - Prob. 43ESCh. 21.1 - Prob. 44ESCh. 21.1 - Prob. 45ESCh. 21.1 - Prob. 46ESCh. 21.1 - Prob. 47ESCh. 21.1 - Prob. 48ESCh. 21.1 - Sketch the graph of each quadratic function. See...Ch. 21.1 - Prob. 50ESCh. 21.1 - Prob. 51ESCh. 21.1 - Prob. 52ESCh. 21.1 - Prob. 53ESCh. 21.1 - Prob. 54ESCh. 21.1 - Prob. 55ESCh. 21.1 - Prob. 56ESCh. 21.1 - Prob. 57ESCh. 21.1 - Prob. 58ESCh. 21.2 - Prob. 1VRVCCh. 21.2 - Prob. 2VRVCCh. 21.2 - Prob. 3VRVCCh. 21.2 - Prob. 4VRVCCh. 21.2 - Prob. 1ESCh. 21.2 - Prob. 2ESCh. 21.2 - Prob. 3ESCh. 21.2 - Prob. 4ESCh. 21.2 - Prob. 5ESCh. 21.2 - Prob. 6ESCh. 21.2 - Prob. 7ESCh. 21.2 - Prob. 8ESCh. 21.2 - Prob. 9ESCh. 21.2 - Prob. 10ESCh. 21.2 - Prob. 11ESCh. 21.2 - Prob. 12ESCh. 21.2 - Prob. 13ESCh. 21.2 - Prob. 14ESCh. 21.2 - Prob. 15ESCh. 21.2 - Prob. 16ESCh. 21.2 - Prob. 17ESCh. 21.2 - Prob. 18ESCh. 21.2 - Prob. 19ESCh. 21.2 - Prob. 20ESCh. 21.2 - Prob. 21ESCh. 21.2 - Prob. 22ESCh. 21.2 - Prob. 23ESCh. 21.2 - Prob. 24ESCh. 21.2 - Prob. 25ESCh. 21.2 - Prob. 26ESCh. 21.2 - Prob. 27ESCh. 21.2 - Prob. 28ESCh. 21.2 - Prob. 29ESCh. 21.2 - Prob. 30ESCh. 21.2 - Prob. 31ESCh. 21.2 - Prob. 32ESCh. 21.2 - Prob. 33ESCh. 21.2 - Prob. 34ESCh. 21.2 - Prob. 35ESCh. 21.2 - Prob. 36ESCh. 21.2 - Prob. 37ESCh. 21.2 - Prob. 38ESCh. 21.2 - Prob. 39ESCh. 21.2 - Prob. 40ESCh. 21.2 - Prob. 41ESCh. 21.2 - Prob. 42ESCh. 21.2 - Prob. 43ESCh. 21.2 - Prob. 44ESCh. 21.2 - Prob. 45ESCh. 21.2 - Prob. 46ESCh. 21.2 - Prob. 47ESCh. 21.2 - Prob. 48ESCh. 21.2 - Prob. 49ESCh. 21.2 - Prob. 50ESCh. 21.2 - Prob. 51ESCh. 21.2 - Prob. 52ESCh. 21.2 - Prob. 53ESCh. 21.2 - Prob. 54ESCh. 21.2 - Solve. See Example 5 and 10. Jose takes a job that...Ch. 21.2 - Prob. 56ESCh. 21.2 - Prob. 57ESCh. 21.2 - Prob. 58ESCh. 21.2 - Prob. 59ESCh. 21.2 - Prob. 60ESCh. 21.2 - Prob. 61ESCh. 21.2 - Prob. 62ESCh. 21.2 - Prob. 63ESCh. 21.2 - Prob. 64ESCh. 21.2 - Prob. 65ESCh. 21.2 - Prob. 66ESCh. 21.2 - Prob. 67ESCh. 21.2 - Prob. 68ESCh. 21.2 - Prob. 69ESCh. 21.3 - Prob. 1VRVCCh. 21.3 - Prob. 2VRVCCh. 21.3 - Prob. 3VRVCCh. 21.3 - Prob. 4VRVCCh. 21.3 - Prob. 5VRVCCh. 21.3 - Prob. 6VRVCCh. 21.3 - Prob. 1ESCh. 21.3 - Prob. 2ESCh. 21.3 - Prob. 3ESCh. 21.3 - Prob. 4ESCh. 21.3 - Prob. 5ESCh. 21.3 - Prob. 6ESCh. 21.3 - Prob. 7ESCh. 21.3 - Prob. 8ESCh. 21.3 - Prob. 9ESCh. 21.3 - Prob. 10ESCh. 21.3 - Prob. 11ESCh. 21.3 - Prob. 12ESCh. 21.3 - Prob. 13ESCh. 21.3 - Prob. 14ESCh. 21.3 - Prob. 15ESCh. 21.3 - Prob. 16ESCh. 21.3 - Prob. 17ESCh. 21.3 - Prob. 18ESCh. 21.3 - Prob. 19ESCh. 21.3 - Prob. 20ESCh. 21.3 - Prob. 21ESCh. 21.3 - Prob. 22ESCh. 21.3 - Prob. 23ESCh. 21.3 - Prob. 24ESCh. 21.3 - Prob. 25ESCh. 21.3 - Prob. 26ESCh. 21.3 - Prob. 27ESCh. 21.3 - Prob. 28ESCh. 21.3 - Prob. 29ESCh. 21.3 - Prob. 30ESCh. 21.3 - Prob. 31ESCh. 21.3 - Prob. 32ESCh. 21.3 - Prob. 33ESCh. 21.3 - Prob. 34ESCh. 21.3 - Prob. 35ESCh. 21.3 - Prob. 36ESCh. 21.3 - Prob. 37ESCh. 21.3 - Prob. 38ESCh. 21.3 - Prob. 39ESCh. 21.3 - Prob. 40ESCh. 21.3 - Prob. 41ESCh. 21.3 - Prob. 42ESCh. 21.3 - Prob. 43ESCh. 21.3 - Prob. 44ESCh. 21.3 - Prob. 45ESCh. 21.3 - Prob. 46ESCh. 21.3 - Prob. 47ESCh. 21.3 - Prob. 48ESCh. 21.3 - Prob. 49ESCh. 21.3 - Prob. 50ESCh. 21.3 - Prob. 51ESCh. 21.3 - Prob. 52ESCh. 21.3 - Prob. 53ESCh. 21.3 - Prob. 54ESCh. 21.3 - Prob. 55ESCh. 21.3 - Prob. 56ESCh. 21.3 - Prob. 57ESCh. 21.3 - Prob. 58ESCh. 21.3 - Prob. 59ESCh. 21.3 - Prob. 60ESCh. 21.4 - Prob. 1VRVCCh. 21.4 - Prob. 2VRVCCh. 21.4 - Prob. 3VRVCCh. 21.4 - Prob. 4VRVCCh. 21.4 - Prob. 5VRVCCh. 21.4 - Prob. 6VRVCCh. 21.4 - Prob. 1ESCh. 21.4 - Prob. 2ESCh. 21.4 - Prob. 3ESCh. 21.4 - Prob. 4ESCh. 21.4 - Prob. 5ESCh. 21.4 - Prob. 6ESCh. 21.4 - Prob. 7ESCh. 21.4 - Prob. 8ESCh. 21.4 - Prob. 9ESCh. 21.4 - Prob. 10ESCh. 21.4 - Prob. 11ESCh. 21.4 - Prob. 12ESCh. 21.4 - Prob. 13ESCh. 21.4 - Prob. 14ESCh. 21.4 - Prob. 15ESCh. 21.4 - Prob. 16ESCh. 21.4 - Prob. 17ESCh. 21.4 - Prob. 18ESCh. 21.4 - Prob. 19ESCh. 21.4 - Prob. 20ESCh. 21.4 - Prob. 21ESCh. 21.4 - Prob. 22ESCh. 21.4 - Prob. 23ESCh. 21.4 - Prob. 24ESCh. 21.4 - Prob. 25ESCh. 21.4 - Prob. 26ESCh. 21.4 - Prob. 27ESCh. 21.4 - Prob. 28ESCh. 21.4 - Prob. 29ESCh. 21.4 - Prob. 30ESCh. 21.4 - Prob. 31ESCh. 21.4 - Prob. 32ESCh. 21.4 - Prob. 33ESCh. 21.4 - Prob. 34ESCh. 21.4 - Prob. 35ESCh. 21.4 - Prob. 36ESCh. 21.4 - Prob. 37ESCh. 21.4 - Prob. 38ESCh. 21.4 - Prob. 39ESCh. 21.4 - Prob. 40ESCh. 21.4 - Prob. 41ESCh. 21.4 - Prob. 42ESCh. 21.4 - Prob. 43ESCh. 21.4 - Prob. 44ESCh. 21.4 - Prob. 45ESCh. 21.4 - Prob. 46ESCh. 21.4 - Prob. 47ESCh. 21.4 - Prob. 48ESCh. 21.4 - Prob. 49ESCh. 21.4 - Prob. 50ESCh. 21.4 - Prob. 51ESCh. 21.4 - Prob. 52ESCh. 21.4 - Prob. 53ESCh. 21.4 - Prob. 54ESCh. 21.4 - Prob. 55ESCh. 21.4 - Prob. 56ESCh. 21.4 - Prob. 57ESCh. 21.4 - Prob. 58ESCh. 21.4 - Prob. 59ESCh. 21.4 - Prob. 60ESCh. 21.4 - Prob. 61ESCh. 21.4 - Prob. 62ESCh. 21.4 - Prob. 63ESCh. 21.4 - Prob. 64ESCh. 21.5 - Prob. 1VRVCCh. 21.5 - Prob. 2VRVCCh. 21.5 - Prob. 3VRVCCh. 21.5 - Prob. 4VRVCCh. 21.5 - Prob. 5VRVCCh. 21.5 - Prob. 6VRVCCh. 21.5 - Prob. 1ESCh. 21.5 - Prob. 2ESCh. 21.5 - Prob. 3ESCh. 21.5 - Prob. 4ESCh. 21.5 - Prob. 5ESCh. 21.5 - Prob. 6ESCh. 21.5 - Prob. 7ESCh. 21.5 - Prob. 8ESCh. 21.5 - Prob. 9ESCh. 21.5 - Prob. 10ESCh. 21.5 - Prob. 11ESCh. 21.5 - Prob. 12ESCh. 21.5 - Prob. 13ESCh. 21.5 - Prob. 14ESCh. 21.5 - Prob. 15ESCh. 21.5 - Prob. 16ESCh. 21.5 - Prob. 17ESCh. 21.5 - Prob. 18ESCh. 21.5 - Prob. 19ESCh. 21.5 - Prob. 20ESCh. 21.5 - Prob. 21ESCh. 21.5 - Prob. 22ESCh. 21.5 - Prob. 23ESCh. 21.5 - Prob. 24ESCh. 21.5 - Prob. 25ESCh. 21.5 - Prob. 26ESCh. 21.5 - Prob. 27ESCh. 21.5 - Prob. 28ESCh. 21.5 - Prob. 29ESCh. 21.5 - Prob. 30ESCh. 21.5 - Prob. 31ESCh. 21.5 - Prob. 32ESCh. 21.5 - Prob. 33ESCh. 21.5 - Prob. 34ESCh. 21.5 - Prob. 35ESCh. 21.5 - Prob. 36ESCh. 21.5 - Prob. 37ESCh. 21.5 - Prob. 38ESCh. 21.5 - Prob. 39ESCh. 21.5 - Prob. 40ESCh. 21.5 - Prob. 41ESCh. 21.5 - Prob. 42ESCh. 21.5 - Prob. 43ESCh. 21.5 - Prob. 44ESCh. 21.5 - Prob. 45ESCh. 21.5 - Prob. 46ESCh. 21.5 - Prob. 47ESCh. 21.5 - Prob. 48ESCh. 21.5 - Prob. 49ESCh. 21.5 - Prob. 50ESCh. 21.5 - Prob. 51ESCh. 21.5 - Prob. 52ESCh. 21.5 - Prob. 53ESCh. 21.5 - Prob. 54ESCh. 21.5 - Prob. 55ESCh. 21.5 - Prob. 56ESCh. 21 - Prob. 1IRCh. 21 - Prob. 2IRCh. 21 - Prob. 3IRCh. 21 - Prob. 4IRCh. 21 - Prob. 5IRCh. 21 - Prob. 6IRCh. 21 - Prob. 7IRCh. 21 - Prob. 8IRCh. 21 - Prob. 9IRCh. 21 - Prob. 10IRCh. 21 - Prob. 11IRCh. 21 - Prob. 12IRCh. 21 - Prob. 13IRCh. 21 - Prob. 14IRCh. 21 - Prob. 15IRCh. 21 - Prob. 16IRCh. 21 - Prob. 17IRCh. 21 - Prob. 18IRCh. 21 - Prob. 19IRCh. 21 - Prob. 20IRCh. 21 - Prob. 21IRCh. 21 - Prob. 22IRCh. 21 - Find each partial sum. Find the sum of the first...Ch. 21 - Prob. 24IRCh. 21 - Prob. 1VCCh. 21 - Prob. 2VCCh. 21 - Prob. 3VCCh. 21 - Prob. 4VCCh. 21 - Prob. 5VCCh. 21 - Prob. 6VCCh. 21 - Prob. 7VCCh. 21 - Prob. 8VCCh. 21 - Prob. 1RCh. 21 - Prob. 2RCh. 21 - Prob. 3RCh. 21 - Prob. 4RCh. 21 - Prob. 5RCh. 21 - Prob. 6RCh. 21 - Prob. 7RCh. 21 - Prob. 8RCh. 21 - Prob. 9RCh. 21 - Prob. 10RCh. 21 - Prob. 11RCh. 21 - Prob. 12RCh. 21 - Prob. 13RCh. 21 - Prob. 14RCh. 21 - Prob. 15RCh. 21 - Prob. 16RCh. 21 - Prob. 17RCh. 21 - Prob. 18RCh. 21 - Prob. 19RCh. 21 - Prob. 20RCh. 21 - Prob. 21RCh. 21 - Prob. 22RCh. 21 - Prob. 23RCh. 21 - Prob. 24RCh. 21 - Prob. 25RCh. 21 - Prob. 26RCh. 21 - Prob. 27RCh. 21 - Prob. 28RCh. 21 - Prob. 29RCh. 21 - Prob. 30RCh. 21 - Prob. 31RCh. 21 - Prob. 32RCh. 21 - Prob. 33RCh. 21 - Prob. 34RCh. 21 - Prob. 35RCh. 21 - Prob. 36RCh. 21 - Prob. 37RCh. 21 - Prob. 38RCh. 21 - Prob. 39RCh. 21 - Prob. 40RCh. 21 - Prob. 41RCh. 21 - Prob. 42RCh. 21 - Prob. 43RCh. 21 - Prob. 44RCh. 21 - Prob. 45RCh. 21 - Prob. 46RCh. 21 - Prob. 47RCh. 21 - Prob. 48RCh. 21 - Prob. 49RCh. 21 - Prob. 50RCh. 21 - Prob. 51RCh. 21 - Prob. 52RCh. 21 - Prob. 53RCh. 21 - Prob. 54RCh. 21 - Prob. 55RCh. 21 - Prob. 56RCh. 21 - Prob. 57RCh. 21 - Prob. 58RCh. 21 - Solve. First year he owned his business and made...Ch. 21 - Prob. 60RCh. 21 - Prob. 61RCh. 21 - Prob. 62RCh. 21 - Prob. 63RCh. 21 - Prob. 64RCh. 21 - Prob. 65RCh. 21 - Prob. 66RCh. 21 - Prob. 67RCh. 21 - Prob. 68RCh. 21 - Prob. 69RCh. 21 - Prob. 70RCh. 21 - Prob. 71RCh. 21 - Prob. 72RCh. 21 - Prob. 73RCh. 21 - Prob. 74RCh. 21 - Prob. 75RCh. 21 - Prob. 76RCh. 21 - Prob. 77RCh. 21 - Prob. 78RCh. 21 - Prob. 79RCh. 21 - Prob. 80RCh. 21 - Prob. 1GRTCh. 21 - Prob. 2GRTCh. 21 - Prob. 3GRTCh. 21 - Prob. 4GRTCh. 21 - Prob. 5GRTCh. 21 - Prob. 6GRTCh. 21 - Prob. 7GRTCh. 21 - Prob. 8GRTCh. 21 - Prob. 9GRTCh. 21 - Prob. 10GRTCh. 21 - Prob. 1TCh. 21 - Prob. 2TCh. 21 - Prob. 3TCh. 21 - Prob. 4TCh. 21 - Prob. 5TCh. 21 - Prob. 6TCh. 21 - Prob. 7TCh. 21 - Prob. 8TCh. 21 - Prob. 9TCh. 21 - Prob. 10TCh. 21 - Prob. 11TCh. 21 - Prob. 12TCh. 21 - Prob. 13TCh. 21 - Prob. 14TCh. 21 - Prob. 15TCh. 21 - Prob. 16TCh. 21 - Prob. 17TCh. 21 - Prob. 18TCh. 21 - Prob. 1CRCh. 21 - Prob. 2CRCh. 21 - Prob. 3CRCh. 21 - Prob. 4CRCh. 21 - Prob. 5CRCh. 21 - Prob. 6CRCh. 21 - Prob. 7CRCh. 21 - Prob. 8CRCh. 21 - Prob. 9CRCh. 21 - Prob. 10CRCh. 21 - Prob. 11CRCh. 21 - Prob. 12CRCh. 21 - Prob. 13CRCh. 21 - Prob. 14CRCh. 21 - Prob. 15CRCh. 21 - Prob. 16CRCh. 21 - Prob. 17CRCh. 21 - Prob. 18CRCh. 21 - Prob. 19CRCh. 21 - Prob. 20CRCh. 21 - Prob. 21CRCh. 21 - Prob. 22CRCh. 21 - Prob. 23CRCh. 21 - Prob. 24CRCh. 21 - Prob. 25CRCh. 21 - Prob. 26CRCh. 21 - Prob. 27CRCh. 21 - Prob. 28CRCh. 21 - Prob. 29CRCh. 21 - Prob. 30CRCh. 21 - Prob. 31CRCh. 21 - Prob. 32CRCh. 21 - Prob. 33CRCh. 21 - Prob. 34CRCh. 21 - Prob. 35CRCh. 21 - Prob. 36CRCh. 21 - Prob. 37CRCh. 21 - Prob. 38CRCh. 21 - Prob. 39CRCh. 21 - Prob. 40CRCh. 21 - Prob. 41CRCh. 21 - Prob. 42CRCh. 21 - Prob. 43CRCh. 21 - Prob. 44CRCh. 21 - Prob. 45CRCh. 21 - Prob. 46CRCh. 21 - Prob. 47CRCh. 21 - Prob. 48CRCh. 21 - Prob. 49CRCh. 21 - Prob. 50CR
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS
Introduction to Algebra: Using Variables; Author: Professor Dave Explains;https://www.youtube.com/watch?v=WZdZhuUSmpM;License: Standard YouTube License, CC-BY