Concept explainers
To find: the summation of two consecutive triangular numbers and make conjecture with proves.
Answer to Problem 14P
Perfect square is formed
Explanation of Solution
Given:
Two consecutive triangular form.
Concept used:
Triangular number sequence is:
The summation of triangular number is:
Algebraic identities:
Calculation:
Using the formula for the
Write the
Simplifying reveals that this sum is a perfect square.
Hence, perfect square is formed
Chapter 11 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Intermediate Algebra for College Students (7th Edition)
Linear Algebra with Applications (2-Download)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra with Modeling & Visualization (6th Edition)
Elementary Algebra: Concepts and Applications (10th Edition)
Graphical Approach To College Algebra
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education