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EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing.

EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6:29 PM 4G+ 49 EXERCISES.docx EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 4. The past five Marvel movies have been incredibly successful at the box office. Therefore, the next Marvel movie will probably be successful. 5. The cost of college has been increasing over the past several decades. Therefore, higher taxes on the rich are probably the best way to help middle class America thrive. 6. All art is an imitation of nature. Music is art. Therefore, music is an imitation of nature. 7. All musical instruments make sounds. Airplanes make sounds. Therefore, airplanes are musical instruments B. Find a counterexample to show that the following conjectures are false: 1. For all numbers x, x4x. n²+5"+6 2. For all counting numbers n, is an even counting number. 3. For all numbers x, (x+4)=x²+16 4. For numbers a and b, (a+b)³=a³+b³ C. Solve for the following: 1. Use difference table to predict the next term of each sequence a. -2, 2, 12, 28, 50, 78? b. -4, -1, 14, 47, 104, 191, 314? c. 5, 6, 3, -4, -15, -30, -49? d. 2, 0, -18, -64, -150, -288, -490? 2. A sequence has an nth-term formula of a,=4n²-n-2 Use the nth term formula to determine the first five terms of the sequence and the 20th term of the sequence. 3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the 11th and 12th term of the sequence. 4. Narcissistic Numbers that is equal to the sum of the squares of its digits. Find all narcissistic numbers. A narcissistic number is a two-digit natural number 5. Determine the nth-term formula for the number of square tiles in the nth figure.
Transcribed Image Text:6:29 PM 4G+ 49 EXERCISES.docx EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 4. The past five Marvel movies have been incredibly successful at the box office. Therefore, the next Marvel movie will probably be successful. 5. The cost of college has been increasing over the past several decades. Therefore, higher taxes on the rich are probably the best way to help middle class America thrive. 6. All art is an imitation of nature. Music is art. Therefore, music is an imitation of nature. 7. All musical instruments make sounds. Airplanes make sounds. Therefore, airplanes are musical instruments B. Find a counterexample to show that the following conjectures are false: 1. For all numbers x, x4x. n²+5"+6 2. For all counting numbers n, is an even counting number. 3. For all numbers x, (x+4)=x²+16 4. For numbers a and b, (a+b)³=a³+b³ C. Solve for the following: 1. Use difference table to predict the next term of each sequence a. -2, 2, 12, 28, 50, 78? b. -4, -1, 14, 47, 104, 191, 314? c. 5, 6, 3, -4, -15, -30, -49? d. 2, 0, -18, -64, -150, -288, -490? 2. A sequence has an nth-term formula of a,=4n²-n-2 Use the nth term formula to determine the first five terms of the sequence and the 20th term of the sequence. 3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the 11th and 12th term of the sequence. 4. Narcissistic Numbers that is equal to the sum of the squares of its digits. Find all narcissistic numbers. A narcissistic number is a two-digit natural number 5. Determine the nth-term formula for the number of square tiles in the nth figure.
6:29 PM 4G+ 49 EXERCISES.docx EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 4. The past five Marvel movies have been incredibly successful at the box office. Therefore, the next Marvel movie will probably be successful. 5. The cost of college has been increasing over the past several decades. Therefore, higher taxes on the rich are probably the best way to help middle class America thrive. 6. All art is an imitation of nature. Music is art. Therefore, music is an imitation of nature. 7. All musical instruments make sounds. Airplanes make sounds. Therefore, airplanes are musical instruments B. Find a counterexample to show that the following conjectures are false: 1. For all numbers x, x4x. n²+5"+6 2. For all counting numbers n, is an even counting number. 3. For all numbers x, (x+4)=x²+16 4. For numbers a and b, (a+b)³=a³+b³ C. Solve for the following: 1. Use difference table to predict the next term of each sequence a. -2, 2, 12, 28, 50, 78? b. -4, -1, 14, 47, 104, 191, 314? c. 5, 6, 3, -4, -15, -30, -49? d. 2, 0, -18, -64, -150, -288, -490? 2. A sequence has an nth-term formula of a,=4n²-n-2 Use the nth term formula to determine the first five terms of the sequence and the 20th term of the sequence. 3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the 11th and 12th term of the sequence. 4. Narcissistic Numbers that is equal to the sum of the squares of its digits. Find all narcissistic numbers. A narcissistic number is a two-digit natural number 5. Determine the nth-term formula for the number of square tiles in the nth figure.
Transcribed Image Text:6:29 PM 4G+ 49 EXERCISES.docx EXERCISES: A. Determine whether the argument is an example of inductive reasoning or deductive reasoning. 1. Samantha got an A on each of her four math tests, so she will get an A on the next math test. 2. We had rain each day for the last five days, so it will rain today. 3. All amoeba multiply by dividing. I have named the amoeba shown in my microscope Amelia. Therefore, Amelia multiplies by dividing. 4. The past five Marvel movies have been incredibly successful at the box office. Therefore, the next Marvel movie will probably be successful. 5. The cost of college has been increasing over the past several decades. Therefore, higher taxes on the rich are probably the best way to help middle class America thrive. 6. All art is an imitation of nature. Music is art. Therefore, music is an imitation of nature. 7. All musical instruments make sounds. Airplanes make sounds. Therefore, airplanes are musical instruments B. Find a counterexample to show that the following conjectures are false: 1. For all numbers x, x4x. n²+5"+6 2. For all counting numbers n, is an even counting number. 3. For all numbers x, (x+4)=x²+16 4. For numbers a and b, (a+b)³=a³+b³ C. Solve for the following: 1. Use difference table to predict the next term of each sequence a. -2, 2, 12, 28, 50, 78? b. -4, -1, 14, 47, 104, 191, 314? c. 5, 6, 3, -4, -15, -30, -49? d. 2, 0, -18, -64, -150, -288, -490? 2. A sequence has an nth-term formula of a,=4n²-n-2 Use the nth term formula to determine the first five terms of the sequence and the 20th term of the sequence. 3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the 11th and 12th term of the sequence. 4. Narcissistic Numbers that is equal to the sum of the squares of its digits. Find all narcissistic numbers. A narcissistic number is a two-digit natural number 5. Determine the nth-term formula for the number of square tiles in the nth figure.
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