MMW Flashcards

1
Q

The first person who introduced the Fibonacci Sequence

A

Leonardo of Pisa (also known as Fibonacci)

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2
Q

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377…

A

Fibonacci Sequence

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3
Q

the oldest known recursive sequence, which is a sequence where each successive term can only be found through performing operations on previous terms.

A

Fibonacci Sequence

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4
Q

The Value of the Golden Ratio

A

positive negative 1.61803

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5
Q

What Greek Letter represents the Golden Ratio

A

Greek Letter Phi

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6
Q

Other names of Golden Ratio

A

Golden Mean, Golden Section

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7
Q

Any Group or collection of objects is called a ________

A

Set

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8
Q

The objects than belong in a set

A

Elements or Members

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9
Q

A way of expressing sets by putting the elements of the set inside a pair of braces, { }

A

ROSTER METHOD

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10
Q

Change into Roster Method:
- The set of denominations of U.S. paper
currency in production at this time

A

{$1, $2, $5, $10, $20, $50, $100}

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11
Q

Change into Roster Method:
- The set of states in the United States
that border the Pacific Ocean

A

{California, Oregon, Washington, Alaska, Hawaii}

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12
Q

Use the roster method to represent the set of the days in a week.

A

{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}

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13
Q

What are the Natural Numbers or Counting Numbers

A

N= {1, 2, 3, 4, 5, …}

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14
Q

What are the Whole Numbers

A

W= {0,1,2,3,4,5,…}

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15
Q

What are the Integers

A

Z= {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}

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16
Q

What are the Rational Numbers

A

Q= the set of all terminating or repeating decimals

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17
Q

What are the Irrational Numbers

A

J= the set of all non-terminating, nonrepeating decimals

18
Q

What are the Real Numbers

A

R= the set of all rational or irrational numbers

19
Q

Natural numbers is also known as?

A

Counting Numbers

20
Q

The three dots in a set is called a/an?

21
Q

The set of natural numbers less than 5

A

{1, 2, 3, 4}

22
Q

The solution set of x + 5= -1

23
Q

A set is ___________ if it is possible to determine whether any given item is an element of the set.

A

WELL DEFINED

24
Q

The set that contains no elements

A

Empty set or Null set

25
Another method of representing a set, especially useful when describing infinite sets.
Set-Builder Notation
26
The Set is __________ if the number of elements in the set is a whole number.
FINITE
27
The number of elements in the set
Cardinal Number of a Finite Set
28
Set A is _________ to Set B, if and only if A and B have exactly the same elements regardless of order
EQUAL
29
Set A is _________ to Set B, if and only if A and B have the same number of elements regardless of order
EQUIVALENT
30
The set of all elements that are being considered
Universal Set
31
Denoted with S('), is the set of all elements in the universal set U that are not elements of A
Complementary Set
32
Set A is a/an ________ of Set B, if and only if every element of A is also an element of B
SUBSET
33
Is an empty set a subset of every set?
Yes
34
Set A is a/ an __________ of set B, if every element of A is an element of B, and A is not equal to B
PROPER SUBSET
35
Is this a proper subset? R= {Mars, Venus} and S= {Mars, Venus, Mercury}
YEs
36
Is this a proper subset? T= P{Europe, Africa} and V= {Africa, Europe}
No
37
A set with n elements has 2^n subsets
Number of Subsets
38
It is the set of elements common to both A and B
INTERSECTION of sets
39
Is the set that contains all the elements that belong to A or to B or to both
UNION of sets
40
The regions obtained by joining the regions represented by A (i, ii) and the regions represented by B (i, iii) Answer in its Set form
A Union B
41
The region in U that is not in (A U B)
The complement of A Union B
42
“the complement of the intersection of two sets is the union of the complements of the sets.”
De Morgan's Law