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4. State the four steps of Polya's four-step Problem- Solving Strategy.

4. State the four steps of Polya's four-step Problem- Solving Strategy.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 18E: Broadway The ordered pairs below give the starting year and gross ticket sales S (in millions of...
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Summative Test 1. Determine whether the argument is an example of inductive reasoning or deductive reasoning. a. Two computer programs, a buble sort and shell sort, are used to sort data. In each of the 50 experiments, the shell sort program took less time to sort the data that did the buble sort program. Thus the shell sort program is the faster of the two sorting programs. b. If a figure is a rectangle, then it is a parallelogram. Figure A is a rectangle. Therefore, figure A is a parallelogram. 2. Use a difference table to predict the next term in the sequence -1, 0, 9, 32, 75, 144, 245, ? 3. List the first 10 terms of the Fibonacci Sequence 4. State the four steps of Polya's four-step Problem- Solving Strategy. 5. List three strategies that are included in Polya's fourth step (review the solution) 6. List five steps that are included in Polya's second step (devise a plan) 7. We had a rain each day for the last five days, so it will rain today. Is this inductive or deductive reasoning? 8. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 9. Find a counterexample to show that the following conjecture is false: Conjecture: For all numbers x, (x+4)²=x²+16 10. Eight people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
Transcribed Image Text:Summative Test 1. Determine whether the argument is an example of inductive reasoning or deductive reasoning. a. Two computer programs, a buble sort and shell sort, are used to sort data. In each of the 50 experiments, the shell sort program took less time to sort the data that did the buble sort program. Thus the shell sort program is the faster of the two sorting programs. b. If a figure is a rectangle, then it is a parallelogram. Figure A is a rectangle. Therefore, figure A is a parallelogram. 2. Use a difference table to predict the next term in the sequence -1, 0, 9, 32, 75, 144, 245, ? 3. List the first 10 terms of the Fibonacci Sequence 4. State the four steps of Polya's four-step Problem- Solving Strategy. 5. List three strategies that are included in Polya's fourth step (review the solution) 6. List five steps that are included in Polya's second step (devise a plan) 7. We had a rain each day for the last five days, so it will rain today. Is this inductive or deductive reasoning? 8. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 9. Find a counterexample to show that the following conjecture is false: Conjecture: For all numbers x, (x+4)²=x²+16 10. Eight people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
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