Page 751 - Basic College Mathematics with Early Integers

C EXERCISE SET FOR EXTRA HELP

Determine whether each is an example of inductive or deductive reasoning.

1. My coat is red. My neighbor’s coat is red.Therefore, 2. All typewriters type the letter b. I have a typewriter.
all coats are red. Therefore, my typewriter will type the letter b.

3. Rabbits do not lay eggs.Therefore, my pet rabbit will 4. The last two times Ken flew on a commercial jet, his
not lay an egg. luggage was lost. Ken reasons that the next time he
flies on a commercial jet, his luggage will be also lost.

5. A scientist holds a piece of salt over a burning candle 6. Sherlock Holmes knows that the murderer was
and notices that it burns with a yellow flame. She does the butler, the maid, or the cook.The night of the
this again with another piece of salt and notices that it murder, the cook catered a party in a nearby town
also burns with a yellow flame. She therefore reasons and has plenty of witnesses who saw him.The butler
that all salt burns with a yellow flame. was in the hospital with pneumonia.Therefore,
Detective Holmes reasons that the maid did it.

Use inductive reasoning to determine the next number or figure in each sequence.

7. 1, 3, 9, 27 8. 2, 4, 6, 8

9. A, Z, B,Y 10. A, C, E, G

11. 1, 4, 9, 16, 25 12. 2, 4, 8, 16

13. O,T,T, F, F, S, S 14. S, S, M,T,W,T

15. 9, 99, 999, 9999 16. 1, 10, 100, 1000

17. 2, 7, 4, 8, 6 18. 3, 1, 4, 2, 5

19. 9, 12, 20, 33, 51 20. 4, 13, 29, 52, 82

21. 1, 11, 38, 84, 151 22. 2, 12, 24, 41, 66

23. 24.

25. 26.

27. 28.

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