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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
Related questions
Question
Transcribed Image Text:es, you will receive a detention.
Fumio has been late to school five times; therefore he will receive a
detention.
10. I know I will win a jackpot on this slot machine in the next 10 tries, because
it has not paid out any money during the last 45 tries.
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,> Fa+1 for n 2 3
b. 2F, + 4 = Fa+3 for n 2 3
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
solving strategy.
at the following procedure always
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