Explanation Given: The first two terms of the Fibonacci sequence are − 7 and − 2 . Approach: The nth term of an Fibonacci sequence is given by, a n = a n − 1 + a n − 2 Calculation: Consider the first two terms are − 7 and − 2 . The next term is a 3 which is calculated by the addition of previous two terms. a 3 = a 2 + a 1 = − 2 + ( − 7 ) = − 2 − 7 = − 9 The third term is − 9 . The next term is a 4 which is calculated by the addition of previous two terms. a 4 = a 3 + a 2 = − 9 + ( − 2 ) = − 9 − 2 = − 11 The fourth term is − 11 . The next term is a 5 which is calculated by the addition of previous two terms. a 5 = a 4 + a 3 = − 11 + ( − 9 ) = − 11 − 9 = − 20 The fifth term is − 20 . The next term is a 6 which is calculated by the addition of previous two terms. a 6 = a 5 + a 4 = − 20 + ( − 11 ) = − 20 − 11 = − 31 The sixth term is − 31 . The next term is a 7 which is calculated by the addition of previous two terms.

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

13th Edition

ISBN: 9780135183885

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans

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 8.3, Problem 23MC

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The first 10 terms of a Fibonacci sequence in which the first two terms are −7 and −2.

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Chapter 8.3, Problem 22MC

Chapter 8.3, Problem 24MC

Chapter 8 Solutions

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Ch. 8.1 - Student were asked to write an algebraic...Ch. 8.1 - a. Choose seven consecutive term in any arithmetic...Ch. 8.1 - A teacher instructed her class as follows: Take...Ch. 8.1 - A teacher instructed her class to take any number...Ch. 8.1 - Give an example of geometric sequence whose first...Ch. 8.1 - Joel says that there is no reason to have more...Ch. 8.1 - A student wonders if sets can ever be considered...Ch. 8.1 - A student wants to know how can she prove that a...Ch. 8.1 - Prob. 9MC Ch. 8.1 - Prob. 11MC

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The first 10 terms of a Fibonacci sequence in which the first two terms are − 7 and − 2 .

Solution Summary: The author calculates the first two terms of a Fibonacci sequence, which are -7 and -2, and the next term, a_3.

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To find:

The first 10 terms of a Fibonacci sequence in which the first two terms are −7 and −2.

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Chapter 8 Solutions

The first 10 terms of a Fibonacci sequence in which the first two terms are − 7 and − 2 .

Solution Summary: The author calculates the first two terms of a Fibonacci sequence, which are -7 and -2, and the next term, a_3.

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To find: The first 10 terms of a Fibonacci sequence in which the first two terms are −7 and −2.

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Chapter 8 Solutions

To find:

The first 10 terms of a Fibonacci sequence in which the first two terms are −7 and −2.