Chapter 1.1
Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 75, 64, 53, 42, 31, ...
20
Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 2, 10, 18, 26, 34, ...
42
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 4, 8, 13, 19, 26, 34...
43
Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 2, 4, 8, 16, 32...
64
You are given a number pattern. What number comes next? 3, 9, 36, 180, 1080,...
7560
No U.S. president has been younger than 65 at the time of his inauguration. Use the table below. President Age at Inauguration A. Theodore Roosevelt 42 B. John F. Kennedy 43 C. Barack Obama 47 D. Harry S. Truman 60 E. James Buchanan 65 F. William H. Harrison 68 G. Ronald Reagan 69 The statement is false because the following president(s) is/are a counterexample.
A, B, C, & D.
Find a counterexample to show that the following statement is false. If a number is multiplied by itself, the result is even. A. 3 X 5 = 15 B. 5 X 5 = 25 C. 6 + 6 = 12 D. 4 X 4 = 16
B. 5 X 5 = 25
Choose which reasoning process is shown in the following example. Explain your answer. An HMO does a follow-up study on 1328 randomly selected patients given a flu shot. None of these people became seriously ill with the flu. The study concludes that all HMO patients be urged to get a flu shot in order to prevent a serious case of the flu. A. It is deductive reasoning because additional information may prove that other patients may not have taken the flu shot and still did not catch a serious case of the flu. B. It is deductive reasoning because a general conclusion is drawn based on specific observations. C. It is inductive reasoning because a general conclusion is drawn based on specific observations. D. It is inductive reasoning because the flu is epidemic. If someone does not take the flu shot there is a great possibility for that person to catch a serious case of the flu.
C. It is inductive reasoning because a general conclusion is drawn based on specific observations.
The statement 3 + 3 = 6 serves as a/an _______ to the conjecture that the sum of two odd numbers is an odd number.
Counterexample
A patient in the emergency room is monitored for heart rate, oxygenation level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this happens, as that pattern is indicative of heart attacks. The nurse calls the doctor. Is the nurse using inductive or deductive reasoning?
Deductive Reasoning
Identify the reasoning process, induction or deduction, in the following example. Explain your answer. The course policy states that work turned in late will be marked down a grade. I turned in my report a day late, so it was marked down from B to C. This is an example of __________. The specific conclusion, __________ was arrived at from one or more general statements.
Deductive Reasoning. The report is marked down from a B to a C.
Arriving at a general conclusion based on observations of specific examples is called _______.
Inductive Reasoning
You read the newspaper daily. Lately, you have noticed more articles about increased tuition at various public and private colleges and universities. You draw the conclusion that all colleges and universities have increased tuition. Which type of reasoning is this? Are you drawing a generalization based upon specific examples (inductive) or applying a generalization to specifics (deductive)?
Inductive Reasoning
