Proof - [Pure 4]. Flashcards
1
Q
What formula can you write to show an even number?
A
2n (2 x something).
2
Q
What formula can you write to show an odd number?
A
2n+1 (2 x something+1) or 2n-1 (2 x something-1).
3
Q
What can you write to show consecutive numbers?
A
n, n+1, n+2… for example.
4
Q
What can you write to show consecutive even numbers?
A
2n-2, 2n, 2n+2… for example.
5
Q
What can you write to show consecutive odd numbers?
A
2n-1, 2n+1, 2n+3… for example.
6
Q
What can you write to show two numbers which are not consecutive?
A
2a and 2b for example…
7
Q
The sum of integers is equal to _____?
A
an integer.
8
Q
The difference of integers is equal to _____?
A
an integer.
9
Q
The product of integers is equal to _____?
A
an integer.
10
Q
What are the different types of proof?
A
- Direct Proof.
- Proof by Exhaustion.
- Disproof by Counter-Example.
- Proof by Contradiction.
