6:29 PM4G+49EXERCISES.docxEXERCISES:A. Determine whether the argument is an example of inductive reasoning or deductivereasoning.1. Samantha got an A on each of her four math tests, so she will get an A on thenext 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 mymicroscope 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 middleclass America thrive.6. All art is an imitation of nature. Music is art. Therefore, music is an imitationof nature.7. All musical instruments make sounds. Airplanes make sounds. Therefore,airplanes are musical instrumentsB. Find a counterexample to show that the following conjectures are false:1. For all numbers x, x4x.n²+5"+62. For all counting numbers n,is an even counting number.3. For all numbers x, (x+4)=x²+164. For numbers a and b, (a+b)³=a³+b³C. Solve for the following:1. Use difference table to predict the next term of each sequencea. -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 ofa,=4n²-n-2Use the nth term formula to determine the first five terms of the sequence andthe 20th term of the sequence.3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the11th and 12th term of the sequence.4. Narcissistic Numbersthat is equal to the sum of the squares of its digits. Find all narcissisticnumbers.A narcissistic number is a two-digit natural number5. Determine the nth-term formula for the number of square tiles in the nthfigure. 6:29 PM4G+49EXERCISES.docxEXERCISES:A. Determine whether the argument is an example of inductive reasoning or deductivereasoning.1. Samantha got an A on each of her four math tests, so she will get an A on thenext 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 mymicroscope 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 middleclass America thrive.6. All art is an imitation of nature. Music is art. Therefore, music is an imitationof nature.7. All musical instruments make sounds. Airplanes make sounds. Therefore,airplanes are musical instrumentsB. Find a counterexample to show that the following conjectures are false:1. For all numbers x, x4x.n²+5"+62. For all counting numbers n,is an even counting number.3. For all numbers x, (x+4)=x²+164. For numbers a and b, (a+b)³=a³+b³C. Solve for the following:1. Use difference table to predict the next term of each sequencea. -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 ofa,=4n²-n-2Use the nth term formula to determine the first five terms of the sequence andthe 20th term of the sequence.3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the11th and 12th term of the sequence.4. Narcissistic Numbersthat is equal to the sum of the squares of its digits. Find all narcissisticnumbers.A narcissistic number is a two-digit natural number5. Determine the nth-term formula for the number of square tiles in the nthfigure.

Question

6:29 PM4G+49EXERCISES.docxEXERCISES:A. Determine whether the argument is an example of inductive reasoning or deductivereasoning.1. Samantha got an A on each of her four math tests, so she will get an A on thenext 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 mymicroscope 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 middleclass America thrive.6. All art is an imitation of nature. Music is art. Therefore, music is an imitationof nature.7. All musical instruments make sounds. Airplanes make sounds. Therefore,airplanes are musical instrumentsB. Find a counterexample to show that the following conjectures are false:1. For all numbers x, x4x.n²+5&#34;+62. For all counting numbers n,is an even counting number.3. For all numbers x, (x+4)=x²+164. For numbers a and b, (a+b)³=a³+b³C. Solve for the following:1. Use difference table to predict the next term of each sequencea. -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 ofa,=4n²-n-2Use the nth term formula to determine the first five terms of the sequence andthe 20th term of the sequence.3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the11th and 12th term of the sequence.4. Narcissistic Numbersthat is equal to the sum of the squares of its digits. Find all narcissisticnumbers.A narcissistic number is a two-digit natural number5. Determine the nth-term formula for the number of square tiles in the nthfigure. 6:29 PM4G+49EXERCISES.docxEXERCISES:A. Determine whether the argument is an example of inductive reasoning or deductivereasoning.1. Samantha got an A on each of her four math tests, so she will get an A on thenext 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 mymicroscope 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 middleclass America thrive.6. All art is an imitation of nature. Music is art. Therefore, music is an imitationof nature.7. All musical instruments make sounds. Airplanes make sounds. Therefore,airplanes are musical instrumentsB. Find a counterexample to show that the following conjectures are false:1. For all numbers x, x4x.n²+5&#34;+62. For all counting numbers n,is an even counting number.3. For all numbers x, (x+4)=x²+164. For numbers a and b, (a+b)³=a³+b³C. Solve for the following:1. Use difference table to predict the next term of each sequencea. -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 ofa,=4n²-n-2Use the nth term formula to determine the first five terms of the sequence andthe 20th term of the sequence.3. The first 6 terms of Fibonacci sequence are 1, 1, 2, 3, 5, and 8. Determine the11th and 12th term of the sequence.4. Narcissistic Numbersthat is equal to the sum of the squares of its digits. Find all narcissisticnumbers.A narcissistic number is a two-digit natural number5. Determine the nth-term formula for the number of square tiles in the nthfigure.

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