Math 2358 Sec 253 Quiz 4 Name:
This quiz is closed notes and closed book. If you need more space, you may use the back of the paper.
n(n+1)
1. (5 pts) Prove (using proof by induction) that 1 + 2 + + n = 2 .
2. (5 pts) Consider the following proof.
Pro
'ZJ -% H 75%;
JOJ A t cfw_3 a mi 9&3.be 0% eieanS
IAN/4441" GA MMAC, (QQWCH 1a IS (I! (SCH/4
a Q04 Meme a cfw_s Ill/f m A
i .LVcfw_ A SJ IS jmau emit/7) WW3 5" [54 17W @IeMWIJ (eKCZuJZ
(SM/WWI KJWQCAA Ujg 224' )9in I JJIQZM 3)
A : EX, K [Mg 5am. [Oral/981
Math 2358 Section 2 Exam 2 Name:
This exam is closed book and closed notes, but a calculator may be used. Work must be shown to
receive full credit.
1. (8 pts each) Calculate each of the following:
3) Find the next three terms of the sequence defined by
;
Math 2358 Sec 2 Exam 1 Name: it" A"
This exam is ciosed book and closed notes, but a calcuiator may be used. Work must be shown (where
appiicabie) to receive full credit. The iast page of the test may be used for scratchwork if needed, but
oniy answers
>7
Math 2358 Sec 253 Quiz 7 Name: i; \1/
1. Perform each of the following:
a) (3 pts) Convert 43 from base 10 to binary.
b)
2. (5 pts) Use the Euclidean Algorithm to find gcd(20, 12). You must use the Euclidean Algorithm
to receive full credit. '
W :l e
Math 2358 Sec 253 Quiz 5 Name:
This quiz is closed book and closed notes, but a calculator may be used. Work must be shown (where
applicable) to receive full credit.
1. Let U = cfw_1, 2, 3, 4, 5, 6, 7, 8, 9, 10,11,A = cfw_1, 2,4, 6, B = cfw_2, 5,6, 7, 8,
Math 2358 Sec 253 Quiz 3
1. Let P(x, 3/) be the statement Person x likes food y, where x is the set ofall people in a town
and y is the set of available foods.
a) (3 pts) Express the following statement in terms of P06, y) and quantifiers:
All people li
Math 2358 Sec 253 Quiz 2 ' Name: (/kE
This quiz is closed book and closed notes, but a calculator may be used. Work must be shown to receive
full credit.
1. (5 pts) A village consists of knights, who always tell the truth, and knaves, who always lie. You
L/ @
Math 2358 Section 253 Quiz 8 Name: \
This quiz is closed notes and closed book, but a calculator may be Used. Work must be shown to receive
full credit.
1.
a) (3 pts) Find an inverse of 3 mod 7
2 1 JV Jo Qua; A
cfw_UT (WWW/(1%; [@EULCLJIMM AQU/V)
W)
l a r
Math 2358 Sec 253 Quiz 6 Name:
This quiz is closed notes and closed book, but a calculator may be used. Work must be shown (where
applicable) to receive full credit.
1. (3 pts each) Evaluate each of the following quantities:
a) 40mod9 '3er
b) (11 mo
Math 2358 Sec 253 Quiz 1 Name; ll l3 10
This quiz is closed notes and closed book, but a calculator may be used. Work must be shown (where
applicable) to receive full credit. ' '
1. (3 pts each) Let p and q be the propositions The document camera is turne
Math 2358 Section 253 Quiz 10 Name: IKE I
This quiz is closed notes and closed book, but a caicuiator may be used. Work must be shown to receive
full credit.
1. Consider the following graph:
a) (3 pts) List the vertices and their degrees.
b) (2 pts) Wha
g cfw_'2 V
Math 2358 sec 253 Exam 1 \I'er 2 Name: cfw_T _, l
This exam is closed book and closed notes, but a calculator may be used. Work must be shown (where
applicable) to receive full credit. The last page of the test may be used for scratchwork it ne
Math 2358 $2 Quiz 1
This quiz is closed notes and dosed book. it you need more space, you may use the back of the paper,
1. (5 pts) Construct a truth tabie for the toiiowing compound proposition:
CPVrz)->CPEBUJ
Q
2. (5 pts) A viiiage consists of