Math035 (Module 1)

Question 1

Who made the Fibonacci sequence

Answer 1

Leonardo Bonacci

Question 2

What is Leonardo Bonacci popularly known as

Answer 2

Fibonacci

Question 3

What does fibonnaci mean?

Answer 3

Filius Bonnaci (Son of Bonacci)

Question 4

what is leonardo bonacci also known as?

Answer 4

Leonardo of Pisa
Leonardo Pisano Bigollo (Leonardo the traveler from pisa)
Leonardo Fibonacci

Question 5

Fibonacci wrote a
very famous book
“________________

Answer 5

Liber abaci

Question 6

When did fibonacci write Liber abaci

Answer 6

1202

Question 7

What does the liber abaci mean?

Answer 7

The book of calculation

Question 8

What is fibonacci’s job

Answer 8

Mathematician and businessman

Question 9

is an example of a recursive sequence,
obeying the simple rule that to calculate the next term one simply
sums the preceding two

Answer 9

Fibonacci Sequence

Question 10

counting the number of
compositions of 1s or 2s that sum to a given total n:

Answer 10

Fibonacci Sequence Application

Question 11

The Fibonacci numbers can be found
among the set of

Answer 11

binary strings

Question 12

The number of binary strings of
length n without consecutive 1s is the
Fibonacci number

Answer 12

Fn+2

Question 13

What is the golden ratio

Answer 13

1.61803

Question 14

is a declarative
statement which is true or false, but not both.

Answer 14

proposition

Question 15

is the study of how simple
propositions can come together to make more complicated
propositions.

Answer 15

Proposition Logic

Question 16

The attribute assigned to a proposition
depending on its truthfulness or falsehood, which in
classical logic has only two possible values

Answer 16

Truth Value

Question 17

What is the Golden ratio?

Answer 17

1.61803

Question 18

¬ What is this?

Answer 18

negation

Question 19

Ʌ what is this?

Answer 19

Conjunction

Question 20

V What is this?

Answer 20

Disjunction

Question 21

→ What is this?

Answer 21

Conditional

Question 22

↔ What is this?

Answer 22

BiConditional

Question 23

¬ Usage?

Answer 23

not

Question 24

Ʌ Usage?

Answer 24

and/but

Question 25

V usage?

Answer 25

or

Question 26

→ Usage?

Answer 26

if, then, only if

Question 27

↔ usage?

Answer 27

If and only if

Question 28

is a mathematical table showing how the truth or falsity of a proposition varies with that of its components.

Answer 28

truth table

Question 29

How does converse work?

Answer 29

p > q => q>p

Question 30

How does inverse work?

Answer 30

p → q is ￢p → ￢q

Question 31

How does contrapositive work?

Answer 31

p →q is ￢q → ￢p.

Question 32

tautology?

Answer 32

Only true

Question 33

Contradiction?

Answer 33

False only

Question 34

Contingency?

Answer 34

at least 1 true and false

Question 35

in logic, is a statement expressed in a way that would assume the value of true or false.

Answer 35

predicate or propositional function

Question 36

Universal quantification of P(x) what does it use?

Answer 36

Ɐ

Question 37

Existential quantification of P(x) What does it use?

Answer 37

Ǝ

Question 38

Ɐ What does it mean?

Answer 38

All True

Question 39

Ǝ What does it mean?

Answer 39

>Atleast one True > If all is true = False

Question 40

What does this mean? ---> V = {a, e, i, o, u}

Answer 40

Set

Question 41

V = {a, e, i, o, u} <----- What does this mean?

Answer 41

Element

Question 42

roster or Listing Method

Answer 42

V = {a, e, i, o, u} O = {1, 3, 5, 7, 9, ......}

Question 43

Set-Builder Notation

Answer 43

A={x | x is odd and x < 10}. B={xϵZ | 10 < x < 100} where xϵZ is read as "x is an element of the set of integers

Question 44

refers to the number of elements in a set.

Answer 44

Cardinality

Question 45

are sets which either has no elements or has elements which could all be possibly listed down (countable).

Answer 45

Finite Sets

Question 46

are sets whose elements cannot be listed

Answer 46

Infinite Sets

Question 47

contains all of the elements relevant to a given discussion.

Answer 47

The universal set

Question 48

is a set with no elements. In symbol, ∅ or { }.

Answer 48

Null Set

Question 49

What does Union look like?

Answer 49

A∪B

Question 50

What does Intersection Look like?

Answer 50

(A∩B)

Question 51

What does set difference look like?

Answer 51

(A - B)

Question 52

What does Set complement look like?

Answer 52

Ā)

Question 53

set which contains all the elements of both the sets

Answer 53

Union

Question 54

set containing only the elements that are common in both sets

Answer 54

Intersection

Question 55

set whose elements are found in first set but not in second.

Answer 55

Set Difference (A - B)

Question 56

>set whose elements are in the universal set (U) but not in the given set (A).

Answer 56

Set Complement (Ā)

Question 57

Fibonacci's Father

Answer 57

Guglielmo bonacci

Question 58

What's the triangle made up of numbers called?

Answer 58

Pascal's Triangle

Question 59

When to use Fn+1

Answer 59

When counting the number of compositions of 1s or 2s

Question 60

Symbol of Negation

Answer 60

¬

Question 61

Symbol of Conjunction

Answer 61

(^)

Question 62

Symbol of Disjunction

Answer 62

V

Question 63

Symbol of Conditional

Answer 63

→

Question 64

Symbol of Bi-Conditional

Answer 64

↔

Question 65

p > q => q>p what is this?

Answer 65

Converse

Question 66

p → q is ￢p → ￢q what is this?

Answer 66

Inverse

Question 67

p →q is ￢q → ￢p what is this?

Answer 67

Contrapositive

Question 68

V = {a, e, i, o, u} O = {1, 3, 5, 7, 9, ......} What is this?

Answer 68

Roster or Listing method

Question 69

A={x | x is odd and x < 10}. B={xϵZ | 10 < x < 100} where xϵZ is read as "x is an element of the set of integers “What is this?”

Answer 69

Set-Builder Notation

Question 70

A∪B “what is this?”

Answer 70

Union

Question 71

(A∩B) what is this?

Answer 71

Intersection

Question 72

(A - B) what is this?

Answer 72

Set-difference

Question 73

(Ā) what is this?

Answer 73

Set-complement