Determine what valid conclusions can be drawn from the following premises. Then determine the what type of reasoning (deductive/inductive) is used to come up with the answer.   1. If three sides of a triangle are equal, then it is an equilateral triangle. Triangle ABC has three equal sides.   2. The first term of a sequence is 11, the second term is 15, and the third term is 19. Find the next three terms.   3. Countries in the Middle East like Saudi Arabia, Kuwait, UAE, Oman, and Qatar are muslim countries. Yemen is a country in the Middle East.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Determine what valid conclusions can be drawn from the following premises. Then determine the what type of reasoning (deductive/inductive) is used to come up with the answer.

 

1. If three sides of a triangle are equal, then it is an equilateral triangle. Triangle ABC has three equal sides.

 

2. The first term of a sequence is 11, the second term is 15, and the third term is 19. Find the next three terms.

 

3. Countries in the Middle East like Saudi Arabia, Kuwait, UAE, Oman, and Qatar are muslim countries. Yemen is a country in the Middle East.

 

4. All people who are good in Mathematics are logical. George is logical.

 

5. A group of students in a certain country showed improvement in academic performance when they study while listening to classical music. In other country, a certain class who listened to classical music while taking an exam performed better than the other class who took the exam in the traditional way. In another country, someone profess that babies exposed to classical music end up smarter.

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