Math 226
Fall 2007
100 points
EXAM 2
6 pages- 10 problems
NAME
i
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) Use the Euclidean algorithm to calculate the greatest common divisor of

EXAM 2
6 pa2es- 10 problems
Math 226
Fall 2008
100 points
NAME
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) Use the Euclidean algorithm to calculate the greatest common divisor of

Math 226
Fall 2006
100 points
EXAM 3
6 pages- 10 problems
_
NAME
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) A sequence is defined recursively as follows:
sk = 4 sk 1 + 1, for all

Math 226
Fall 2910 6 368-3 roblems
iﬂﬂmnts
DIRECTIONS: Show all the work in the space provided. Please box ﬁnal answers, and
follow the indicated directions.
1) A sequence is deﬁned recursively as follows:
sk = k + SH , for all integers k 2 1
so 2 0.

Math 226
Fall 2008
100 points
EXAM 3
6 pages-8 problems
NAME
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) A sequence is defined recursively as follows:
Sk
= 2k - sk-J ,for all integ

Chapter 2
Predicate Calculus
2.1
Introduction to Predicate Calculus
Predicate is a sentence that contains a nite set of variables and becomes
a statement when they are specied. Domain of a predicate variable is the
set of values that may be substituted in

Math 226
Fall 2011
100 points
EXAM 1
5 pages- 10 problems
_
NAME
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) On the island of knights (that always tell truth) and knaves (that alwa

Math 226
Fall 2010
100 points
EXAM 1
4 pages- 10 problems
_
NAME
DIRECTIONS: Show all the work in the space provided. Please box final answers, and
follow the indicated directions.
1) Write the following two statements in symbolic form:
If the network is