Explanation Given: Ryan is building triangle sequences so that one triangle is added to the right each time, as shown: Approach: By taking the arithmetic sequence of number of matchsticks used and then use the formula to find the general value. Calculation: As in first figure the number of matchsticks used are 3 , in second the number of matchsticks used are 5 and in third the number of matchsticks used are 7 so by the formula for arithmetic sequence the number of matchsticks used in n th figure is 3 +</

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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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 8.2B, Problem 7A

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The number of matchsticks used in the nth and for the (n−1)th figure.

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Chapter 8.2B, Problem 6A

Chapter 8.2B, Problem 8A

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Chapter 8 Solutions

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

Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC

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The number of matchsticks used in the n th and for the ( n − 1 ) th figure.

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The number of matchsticks used in the nth and for the (n−1)th figure.

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The number of matchsticks used in the n th and for the ( n − 1 ) th figure.

Solution Summary: The author explains that the number of matchsticks used in the nth and for the (n-1)

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To explain: The number of matchsticks used in the nth and for the (n−1)th figure.

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Chapter 8 Solutions

To explain:

The number of matchsticks used in the nth and for the (n−1)th figure.