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?

A

Ellipsis

21
Q

The set of natural numbers less than 5

A

{1, 2, 3, 4}

22
Q

The solution set of x + 5= -1

A

{-6}

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
Q

Another method of representing a set, especially useful when describing infinite sets.

A

Set-Builder Notation

26
Q

The Set is __________ if the number of elements in the set is a whole number.

A

FINITE

27
Q

The number of elements in the set

A

Cardinal Number of a Finite Set

28
Q

Set A is _________ to Set B, if and only if A and B have exactly the same elements regardless of order

A

EQUAL

29
Q

Set A is _________ to Set B, if and only if A and B have the same number of elements regardless of order

A

EQUIVALENT

30
Q

The set of all elements that are being considered

A

Universal Set

31
Q

Denoted with S(‘), is the set of all elements in the universal set U that are not elements of A

A

Complementary Set

32
Q

Set A is a/an ________ of Set B, if and only if every element of A is also an element of B

A

SUBSET

33
Q

Is an empty set a subset of every set?

A

Yes

34
Q

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

A

PROPER SUBSET

35
Q

Is this a proper subset?
R= {Mars, Venus} and S= {Mars, Venus, Mercury}

A

YEs

36
Q

Is this a proper subset?
T= P{Europe, Africa} and V= {Africa, Europe}

A

No

37
Q

A set with n elements has 2^n subsets

A

Number of Subsets

38
Q

It is the set of elements common to both A and B

A

INTERSECTION of sets

39
Q

Is the set that contains all the elements that belong to A or to B or to both

A

UNION of sets

40
Q

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

A Union B

41
Q

The region in U that is not in (A U B)

A

The complement of A Union B

42
Q

“the complement of the intersection of two sets is the union of the complements of the sets.”

A

De Morgan’s Law