Explanation Given information: The sequence is 3 , 8 , 15 , 24 , 35 , 48 , … . Calculation: First find the sequence of the first difference: Consider, the given sequence 3 , 8 , 15 , 24 , 35 , 48 , … . 3 8 15 24 35 48 \ / \ / \ / \ / \ / 5 7 9 11 13 To discover a pattern for the original sequence, try to find a pattern for the sequence of differences 5 , 7 , 9 , 11 , 13 , … To determine b. The next three terms to continue a pattern in the sequence 1 , 7 , 18 , 37 , 67 , 111 , … .

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 1.2B, Problem 11A

To determine

a.

The next three terms to continue a pattern in the sequence 3, 8, 15, 24, 35, 48, ….

To determine

b.

The next three terms to continue a pattern in the sequence 1, 7, 18, 37, 67, 111,….

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Chapter 1.2B, Problem 10A

Chapter 1.2B, Problem 12A

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Chapter 1 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 1.1 - Mathematical Connections 1-2 a. If a fixed number...Ch. 1.1 - Mathematical Connections 1-2 A student says she...Ch. 1.1 - Mathematical Connections 1-2 Abby and Dan are...Ch. 1.1 - Consider a game where you have two distict piles...Ch. 1.1 - Mathematical Connections 1-2 A mathematician named...Ch. 1.1 - Mathematical Connections 1-2 The figure below...Ch. 1.1 - Mathematical Connections 1-1 The distance around...Ch. 1.1 - Work in pairs on the following versions of a game...Ch. 1.1 - John asks why the last step of Polyas four-step...Ch. 1.1 - Mathematical Connections 1-2 Connecting...

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a. The next three terms to continue a pattern in the sequence 3 , 8 , 15 , 24 , 35 , 48 , … .

Solution Summary: The author explains how to determine the next three terms to continue a pattern in the sequence.

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a.

The next three terms to continue a pattern in the sequence 3, 8, 15, 24, 35, 48, ….

b.

The next three terms to continue a pattern in the sequence 1, 7, 18, 37, 67, 111,….

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Chapter 1 Solutions

a. The next three terms to continue a pattern in the sequence 3 , 8 , 15 , 24 , 35 , 48 , … .

Solution Summary: The author explains how to determine the next three terms to continue a pattern in the sequence.

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a. The next three terms to continue a pattern in the sequence 3, 8, 15, 24, 35, 48, ….

b. The next three terms to continue a pattern in the sequence 1, 7, 18, 37, 67, 111,….

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Chapter 1 Solutions

a.

The next three terms to continue a pattern in the sequence 3, 8, 15, 24, 35, 48, ….

b.

The next three terms to continue a pattern in the sequence 1, 7, 18, 37, 67, 111,….