pattern

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Topic Video
Question
May you guys do number 1 step by step like I found the first expression n(n+1)/2 The second one is n^2+n/2 But I can’t prove the second one by the pattern of the blocks
2:14 PM Wed Mar 3
* 100% 4
A bbcsulb.desire2learn.com
Another way to derive an expression for the sum is to visualize
the sum. In the tile pattern below, the first block arrangement
has 1 block, the second block arrangement has 1 + 2 blocks, the
third tile arrangement has 1 + 2 + 3 blocks.
1
Assuming the block arrangements grow in the same way,
the nth arrangement would have blocks.
1. Use the visualization to determine two additional solution
strategies to determine the sum of the first n natural
numbers.
2. If teaching this task, how would you sequence these three
solution strategies (the original provided and your two
strategies)? Briefly provide rationale for your choices.
Transcribed Image Text:2:14 PM Wed Mar 3 * 100% 4 A bbcsulb.desire2learn.com Another way to derive an expression for the sum is to visualize the sum. In the tile pattern below, the first block arrangement has 1 block, the second block arrangement has 1 + 2 blocks, the third tile arrangement has 1 + 2 + 3 blocks. 1 Assuming the block arrangements grow in the same way, the nth arrangement would have blocks. 1. Use the visualization to determine two additional solution strategies to determine the sum of the first n natural numbers. 2. If teaching this task, how would you sequence these three solution strategies (the original provided and your two strategies)? Briefly provide rationale for your choices.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Algebraic Operations
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
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education