Explanation Given information: Instruction to illustrates, two problems for the 4 th or 5 th grades involving the Fibonacci sequence and explain the solution in a way appropriate for that level. Calculation: First problem: Find the 9 th term in the Fibonacci sequence that starts with 1 and 1 as the first two terms. Let F 1 , F 2 , F 3 , F 4 , … , be the terms of the Fibonacci sequence. Here, F 1 = F 2 = 1 In a Fibonacci sequence, the first two terms are arbitrary and every term starting from the third is the sum of the two previous terms. Thus, F n = F n − 1 + F n − 2 . By plugging n = 3 , F 3 = F 3 − 1 + F 3 − 2 = F 2 + F 1 = 1 + 1 = 2 , By plugging n = 4 , F 4 = F 4 − 1 + F 4 − 2 = F 3 + F 2 = 2 + 1 = 3 , By plugging n = 5 , F 5 = F 5 − 1 + F 5 − 2 = F 4 + F 3 = 3 + 2 = 5 . By plugging n = 6 , F 6 = F 6 − 1 + F 6 − 2 = F 5 + F 4 = 5 + 3 = 8 . By plugging n = 7 , F 7 = F 7 − 1 + F 7 − 2 = F 6 + F 5 = 8 + 5 = 13 . By plugging n = 8 , F 8 = F 8 − 1 + F 8 − 2 = F 7 + F 6 = 13 + 8 = 21 . By plugging n = 9 , F 9 = F 9 − 1 + F 9 − 2 = F 8 + F 7 = 21 + 13 = 34 . Therefore, the 9 th term in a Fibonacci sequence that starts with 1 and 1 as the first two terms is 34

12th Edition

ISBN: 9780137657988

Author: BILLSTEIN

Publisher: INTER PEAR

See similar textbooks

Concept explainers

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.

Videos

Question

Chapter 1.2, Problem 10MC

To determine

Two problems appropriate for the 4 th or 5 th grades involving the Fibonacci sequence and explain the solution in a way appropriate for that level.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.2, Problem 9MC

Chapter 1.2, Problem 11MC

Students have asked these similar questions

Use the method of undetermined coefficients to solve the given nonhomogeneous system.X' = −1 33 −1 X + −4t2t + 2 X(t) =

5) You are purchasing a game for $30. You have a 5% off coupon and sales tax is 5%. What will your final price be? Does it matter if you take off the coupon first or add in the tax first? 6) You have ten coupons that allow you to take 10% off the sales price of a jacket, and for some strange reason, the store is going to allow you to use all ten coupons! Does this mean you get the jacket for free? Let's really think about what would happen at the checkout. First, the teller would scan the price tag on the jacket, and the computer would show the price is $100. After the teller scans the first coupon, the computer will take 10% off of $100, and show the price is $90. (Right? Think about why this is.) Then after the teller scans the second coupon, the computer will take 10% off of $90. (a) Continue this reasoning to fill in the table below showing the price of the jacket (y) after you apply x coupons. (b) Make a graph showing the price of the jacket from x = 0 to x = 10 coupons applied.…

Detailed report without CHATGPT, accept if you can give with code and plots, previous reported . Do not waste my question.

Chapter 1 Solutions

PROB SOLV APPROACH FOR TEACHERS MYLAB

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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Two problems appropriate for the 4 th or 5 th grades involving the Fibonacci sequence and explain the solution in a way appropriate for that level.

Solution Summary: The author illustrates two problems appropriate for the 4 or 5 th grades involving the Fibonacci sequence.

Concept explainers

Videos

Two problems appropriate for the 4 th or 5 th grades involving the Fibonacci sequence and explain the solution in a way appropriate for that level.

Want to see the full answer?

Chapter 1 Solutions