CSC 156 Fall 2023 - Homework 7 (100 pts. total)
Assigned Mon Nov 20, due Mon Dec 4
BEFORE STARTING THIS ASSIGNMENT:
Before starting the exercises given below for each section, please make sure to read each section and check your understanding (by doing the participation exercises and those additional exercises with answers provided).
FOR ALL QUESTIONS IN THIS ASSIGNMENT:
Answer each question. *Make sure to justify your answer for ALL questions. Do NOT just state the answer.*
THE ASSIGNMENT:
[20 pts.] Question 1: Section 4.1 Additional Exercises: #1b,2i,3cd,5a. [Reminder, you must justify your answer for ALL homework questions.]
[15 pts.] Question 2: Given the universal set U = {2, 4, 6, 8, 10, 12}, and sets A = {2, 6, 10} and B = {2, 4, 10},
determine the following sets in roster notation: A ∪ B, A ∩ B, A - B, A ⊕ B, Ac.
[15 pts.] Question 3: Given U = {1,2,3,4,5,6,7,8,9} and the sets A = {1,2,3,4,5,6}, B = {1, 2, 7, 8}, and C = {2, 3, 5, 7}, verify that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) by showing how to calculate both sides.
[15 pts.] Question 4: Section 4.4 Additional Exercises: #1bc,2b
[15 pts.] Question 5: Section 5.1 Additional Exercises: #1b,3ab
[20 pts.] Question 6: For the sequence cj=j2-1:
a) Starting at index 1, calculate the first 4 terms of the sequence.
b) Find the value of 
.
c) Find the value of 
.
Last Modified: 11/22/23