E. Answer the following problems. 1. Determine whether each of the following statement about Fibonacci numbers is true or false. Show your solutions. Note: The first 10 terms of the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55. a. 2F > Fn+1 for n ≥ 3 b. 2F + 4 = Fn+3 for n 23 2. A group of 266 persons consist of men, women and children. There are four times as many men as children and twice as many women as children. How many of each are there? Use Polya's four-step problem solving strategy. 3. In how many ways can you answer 12-question true-false test if you answer each question with either a "true" or a "false"? Use Polya's four-step problem hing strategy.
E. Answer the following problems. 1. Determine whether each of the following statement about Fibonacci numbers is true or false. Show your solutions. Note: The first 10 terms of the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55. a. 2F > Fn+1 for n ≥ 3 b. 2F + 4 = Fn+3 for n 23 2. A group of 266 persons consist of men, women and children. There are four times as many men as children and twice as many women as children. How many of each are there? Use Polya's four-step problem solving strategy. 3. In how many ways can you answer 12-question true-false test if you answer each question with either a "true" or a "false"? Use Polya's four-step problem hing strategy.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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