HW: Problem Solving & Logic Pt. A Assignment
(Homework)
Use inductive reasoning to predict the most probable next number in each list.
8, 10 14 20 28 38, , , , , ?
Use inductive reasoning to predict the most probable next number in the list.
1/9
Current Score
QUESTION
POINTS
TOTAL SCORE
15/15 100.0 %
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Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by questions. You are required to use a new randomization after every 3 question
submissions.
Assignment Scoring
Your best submission for each question part is used for your score.
1 2 3 4 5 6 7 8 9
0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.55/0.55 0.5
Due Date
Past Due
1, 4, 9, 16, 25, 36, 49, 64, ?
Use inductive reasoning to decide whether the the statement is correct. : The numbers 1, 2, 3, 4, 5, ... are called Note counting
numbers or . Any counting number divided by 2 produces a remainder of 0 or 1. If 2 has a remainder of natural numbers n n ÷
0, then is an . If 2 has a remainder of 1, then is an .neven counting number n÷nodd counting number
Even counting numbers: 2, 4, 6, 8, 10, ...
Odd counting number: 1, 3, 5, 7, 9, ...
Pick any counting number. Multiply the number by . Add to the product. Divide the sum by 2. Subtract from the quotient.7 6 3
The resulting number is twice the original number.
Determine whether the argument is an example of inductive reasoning or deductive reasoning.
Every English setter likes to hunt. Duke is an English setter, so Duke likes to hunt.
inductive
reasoning
deductive reasoning
Construct a difference table to predict the next term of the sequence.
−1 21 56 111 189 293, 3, , , , , , . . .
Use the given th term formula to compute the first five terms of the sequence.n
n n(4 + )5
Use the given th term formula to compute the first five terms of the sequence.n
a n
= 6n2 − 3
2/9
True
False
n
a = 3
a = 18
a = 45
a = 84
a = 135
1
2
3
4
5
Determine the th term formula for the number of square tiles in the th figure. =n n an
Use the roster method to write each of the given sets. For some exercises you may need to consult a reference, such as the
Internet or an encyclopedia. (Enter EMPTY for the empty set.)
Write a word description of the set.
Use set-builder notation to write the following set.
Use set-builder notation to write the following set.
The set of months that have fewer than 31 days
none of these
{x | is a multiple of and < < }x6 7 x21
{x | is a multiple of and < < }x7 7 x21
{x | is a multiple of and < < }x7 6 x22
{x | is a multiple of and < < } x6 6 x22
{7, , }14 21
{x | is a month that has 30 days}x
{x | is a month that has fewer than 31 days} x
{x | is the number of days and < 31} x x
none of these
{x | is the number of months that have fewer than 31x
days}
Use set-builder notation to write the following set.
{1, 2, 3, 4, 5, }
{x | x
N}
{x | }x I
{x | x
R x} { |
x W} none
of these
Find the complement of the set given that = { | and −3 ≤ ≤ 7}. (Enter your answers as a comma-separated list.)U x x I x
{− 1 7, 1, 3, 5, 6, }
$$ − 3, − 2 , 0, 2 , 4
Find the number of subsets of the given set.
Find the number of subsets of the given set.
Let = {1, 2, 3, 4, 5, 6, 7, 8}, = { , , }, = { , , , }, and = {1, 3, 7}. Find the following. (Enter your answers as a U A 2 4 6 B1 2 5 8 C
comma-separated list.)
A B ∪
{ 1, 2, 4, 5, 6, 8 }
Let = { }, = { }, = { }, and = { }. Find the following. (Enter your answers as a U1, 2, 3, 4, 5, 6, 7, 8 A8, 4, 6 B1, 6, 3, 8 C3, 7, 1
comma-separated list. Enter EMPTY for the empty set.)
A (∩B ∩C)
Let = { , , , , , , , }, = { , , }, = { , , , }, and = { , , }. Find the following. (Enter your answers U4 5 6 7 8 9 10 11 A5 7 9 B4 5 8 11 C4 6 10
as a comma-separated list.)
Draw a Venn diagram to show the set.
Use set notation to describe the shaded region. You may use any of the following symbols: , , , , and . Keep in mind that theA B ∩∪'
shaded region has more than one set description.
(A ∩ B' )
Use set notation to describe the shaded region. You may use any of the following symbols: , , , , , and . Keep in mind that A B C ∩∪'
each shaded region has more than one set description.
C (A ∩
∪ B)' B
∩ A
A (B ∩
∪ C)'
C B∩
Draw a Venn diagram with each of the given elements placed in the correct region.
U A = {2, 4, 6, 8, 10, 12, 14}
= {2, 10, 12}
B = {4, 8}
Let = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, = { , , , }, =U A History Physics Chemistry Math B
{Psychology, , , , }, and = { , , }. Find the following.Drama French Chemistry Math CEnglish Physics French
n(B ∪C)
Given ) = , ) = n(L770 n(M250 90 and ) = n(L∩M, find n(L∪ ). M
930
Given that set has elements and set has elements, determine each of the following.A49 B23
(a) The maximum possible number of elements in A∪B
C = {6 , 8, 10}
72 elements
( b) The minimum possible number of elements in
49 elements
( c) The maximum possible number of elements in
23 elements
d) The minimum possible number of elements in (
0 elements
Home M g
A ∪ B
A
∩B
A
∩B
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