Concept explainers
To calculate: The number of bricks he need to buy.
Answer to Problem 52E
The number of bricks he need to buyare
Explanation of Solution
Given information:
The shorter base of trapezoid has 5 bricks and the total number of rows are 25 and each row is increased by 2 bricks.
Formula used:
A sequence with first term as
The sum of n terms of the arithmetic sequence is
Calculation:
Consider the provided information that shorter base of trapezoid has 5 bricks and the total number of rows are 25 and each row is increased by 2 bricks on each side.
The above situation forms an arithmetic sequence as a constant increase in number of bricks as rows increase.
Common difference is 4 as 2 bricks are increased on each side.
Denote the first row as first term of arithmetic sequence
Recall that a sequence with first term as
The sum of n terms of the arithmetic sequence is
Here
Apply it,
Thus, the number of bricks he need to buy are
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
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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