Concept explainers
a.
Find the next five triangular numbers.
a.
Answer to Problem 10CFU
Explanation of Solution
Given information:
Triangular numbers can be represented by a triangular array of dots, with
Calculation:
Three triangular numbers are
Next five numbers are,
b.
Write the general formula for
b.
Answer to Problem 10CFU
Explanation of Solution
Given information:
Triangular numbers can be represented by a triangular array of dots, with
Calculation:
Three triangular numbers are
The
The sun of
Hence, the general formula for
c.
Prove that the sum of
c.
Answer to Problem 10CFU
Explanation of Solution
Given information:
Triangular numbers can be represented by a triangular array of dots, with
Calculation:
By using the principle of mathematical induction,
If the formula is valid for
Hence,
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning