PROBLEM SOLVING APPROACH (PRINT UPGRADE)

13th Edition

ISBN: 9780135190098

Author: BILLSTEIN

Publisher: PEARSON

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Textbook Question

Chapter 8.1, Problem 1MC

Student were asked to write an algebraic expression for the sum of five consecutive natural numbers .One student wrote x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ( x + 4 ) = 5 x + 10 . Another wrote ( x − 2 ) + ( x − 1 ) + x + ( x + 1 ) + ( x + 2 ) = 5 x .

a. Explain who is correct and why.

b. Does either approach prove that the sum of five consecutive integers equals 5 times the middle term?

c. Does the statement in part (b) generalize to the sum of consecutive term in every arithmetic sequence? Justify answer.

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Chapter 7, Problem 9NT

Chapter 8.1, Problem 2MC

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Chapter 8 Solutions

PROBLEM SOLVING APPROACH (PRINT UPGRADE)

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