Problem 1E: The next number in the pattern 2,4,6,8,10 is 12 Problem 2E: My dog barked and woke me up at 1:02 a.m., 2:03 a.m., and 3:04 a.m. So he will bark again and wake... Problem 3E: To find the perimeter P of a square with side of length s, I can use the formula P=4s. So the... Problem 4E: A company charges a 10% re-stocking fee for returning an item. So when I return a radio that cost... Problem 5E: In Exercises 1-16, determine whether the reasoning is an example of deductive or inductive... Problem 6E: 6. If you take your medicine, you’ll feel a lot better. You take your medicine.Therefore, you’ll... Problem 7E: It has rained every day for the past six days, and it is raining today as well. So it will also rain... Problem 8E: 8. Carrie’s first five children were boys. If she has another baby, it will be a boy.
Problem 9E: 9. The 2000 movie Cast Away stars Tom Hanks as the only human survivor of a plane crash, stranded on... Problem 10E: 10. If the same number is subtracted from both sides of a true equation, the new equation is also... Problem 11E: If you build it, they will come. You build it. Therefore, they will come. Problem 12E: 12. All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
Problem 13E: It is a fact that every student who ever attended Delgado University was accepted into graduate... Problem 14E: For the past 126 years, a rare plant has bloomed in Columbia each summer, alternating between yellow... Problem 15E: 15. In the sequence 5, 10, 15, 20, 25,..., the most probable next number is 30.
Problem 16E: 16. (This anecdote is adapted from a story by Howard Eves in In Mathematical Circles.) A scientist... Problem 17E: 17. Discuss the differences between inductive and deductive reasoning. Give an example of each.
Problem 18E: 18. Give an example of faulty inductive reasoning.
Problem 19E: Determine the most probable next term in each of the following lists of numbers. 6, 9, 12, 15, 18 Problem 20E: Determine the most probable next term in each of the following lists of numbers 13,18,23,28,33 Problem 21E: 21. 3, 12, 48, 192, 768
Problem 22E: 32, 16,8,4,2 Problem 23E: 3, 6, 9, 15, 24, 39 Problem 24E: 13,35,57,79,911 Problem 25E: 25.
Problem 26E: 1,4, 9, 16, 25 Problem 27E: 27. 1, 8, 27, 64, 125
Problem 28E: 28. 2, 6, 12, 20, 30, 42
Problem 29E: Determine the most probable next term in each of the following lists of numbers. 4, 7, 12, 19, 28,... Problem 30E: 30. 27, 21, 16, 12, 9
Problem 31E: 31. 5, 3, 5, 5, 3, 5, 5, 5, 3, 5, 5, 5, 5, 3, 5, 5, 5, 5
Problem 32E: 8, 2, 8, 2, 2, 8, 2, 2, 2, 8, 2, 2, 2, 2, 8, 2, 2, 2, 2 Problem 33E: 33. Construct a list of numbers similar to those in Exercise 19 such that the most probable next... Problem 34E: 34. Construct a list of numbers similar to those in Exercise 30 such that the most probable next... Problem 35E Problem 36E: 36.
Problem 37E: 37.
Problem 38E: 38.
Problem 39E: 39.
Problem 40E: 40.
Problem 41E: 41.
Problem 42E: 42.
Problem 43E: 43.
Problem 44E: 3=3(31)23+9=3(91)23+9+27=3(271)23+9+27+81=3(811)2 Problem 45E: 12=11212+14=11412+14+18=11812+14+18+116=1116 Problem 46E: 46.
Problem 47E Problem 48E: 48.
Problem 49E: 1+2+3++800 Problem 50E: 1+2+3++2000 Problem 51E: Modify the procedure of Gauss to find the sum .
Problem 52E: Explain in your own words how the procedure of Gauss can be modified to find the sum 1+2+3++n, where... Problem 53E Problem 54E: 53. Modify the procedure of Gauss to find the sum
54. Use the result of Exercise 53 to find the sum... Problem 55E: 55. What is the most probable next number in this list?
12, 1, 1, 1, 2, 1, 3
(Hint: Think about a... Problem 56E Problem 57E: 57. Choose any three-digit number with all different digits, and follow these steps.
a. Reverse the... Problem 58E: 58. Choose any number, and follow these steps.
a. Multiply by 2.
b. Add 6.
c. Divide by 2.
d.... Problem 59E: Complete the following. 142,8571=142,8572=142,8573=142,8574=142,8575=142,8576= What pattern exists... Problem 60E:
60. Refer to Figures 2 (b)–(e) and Figure 3. Instead of counting interior regions of the circle,... format_list_bulleted