Basic Mathematics for College Students

Find the number that comes next in each sequence.

See Example 1.

11. 1,5,9,13,...


12. 11,20,29,38,...


13. 5,9,14,20,...


14. 6,8,12,18,...

Find the number that comes next in each sequence.

See Example 2.

15. 15,12,9,6,...


16. 81,77,73,69,...


17. 3,5,8,12,...


18. 1,8,16,25,33,...

Find the letter that comes next in each sequence.

See Example 3.

19. E,I,H,L,K,O,N,...


20. C,H,D,I,E,J,F,...


21. c,b,d,c,e,d,f,...


22. z,w,y,v,x,u,w,...

Find the figure that comes next in each sequence.

See Example 4.

23.

24.

25.

26.

Find the figure that comes next in each sequence.

See Example 5.

27.

28.

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GUIDED PRACTICE 29.

30.

What conclusion can be drawn from each set of information?

See Example 6.

31. TEACHING SCHEDULES A small college offers
    only one biology course, one physics course, one
    chemistry course, and one zoology course. Each
    course is to be taught by a different adjunct professor.
    The four professors who will teach these courses have
    the following course preferences:
    
    
    1. Professors B and D don’t want to teach zoology.
    
    
    2. Professor A wants to teach biology.
    
    
    3. Professor B wants to teach physics.
       Who will teach chemistry?
    
    
    
    


32. DISPLAYS Four companies will be displaying their
    products on tables at a convention. Each company
    will be assigned one of the displays shown below. The
    companies have expressed the following preferences:
    
    
    1. Companies A and C don’t want display 2.
    
    
    2. Company A wants display 3.
    
    
    3. Company D wants display 1.
       Which company will get display 4?
    
    
    
    


33. OCUPATIONS Four people named John, Luis,
    Maria, and Paula have occupations as teacher,
    butcher, baker, and candlestick maker.
    
    
    1. John and Paula are married.
    
    
    2. The teacher plans to marry the baker in
       December.
    
    
    3. Luis is the baker.
       Who is the teacher?
    
    
    
    


34. PARKING A Ford, a Buick, a Dodge, and a
    Mercedes are parked side by side.
    
    
    1. The Ford is between the Mercedes and the Dodge.
    
    
    2. The Mercedes is not next to the Buick.
    
    
    3. The Buick is parked on the left end.
       Which car is parked on the right end?
    
    
    
    

Display 1 Display 2 Display 3 Display 4

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A-28 Appendix III Inductive and Deductive Reasoning