MATH
140 Test 1 Name________________
Instructions: answer all the questions on the paper
provided and show all your work so that partial credit may be given.
1. Let U={1,2,3,…,10}, A={1,2,3,4,5}, and
B={1,3,5,7,9}. Write the elements of
each of the following sets: (16)
a) ={________________}
b) ={________________}
c) ={________________}
d) ={________________}
2. Let U={1,2,3,…,10} and A={1,2,3,4,5}. Find an example of a set B (if possible) that
satisfies the following: (20)
a) , B={________________}
b) , B={________________}
c) , B={________________}
d) , B={________________}
e) , B={________________}
3. a) Is
the following sequence arithmetic, geometric, or neither? (18)
3,
15, 75, 375, … _____________
b)
Find the next three terms in the sequence 8, 14, 20, 26, ____, ____, ____
c)
What is the 30th term in the sequence in part b)? ________
d)
Find the sum 8 + 14 + 20 + …+ 596
= ____________.
4. Express 1244 in Roman Numerals. ___________ (6)
5. Express
34145 as a base ten numeral.
____________ (8)
6. Express 229 as a base 5 numeral. ____________ (8)
7. Let A={1,2,3,4,5} and B={a,b,c,d,e}. (12)
a)
Give an example of a function from A to B using an arrow diagram.
b) Give an example of a one-to-one
correspondence between A and B and express it as a set of ordered pairs.
c)
Does the set {(1,a), (2,a), (3,b), (5,c)} represent a function from A to
B? Why or why not?
8. Use Venn diagrams to determine if the
following two sets are equal. (12)
and