Review of Y12 Proof

Review of Y12 Proof

Proof involving Integers (Number Theory)

• Many basic proofs involve just whole numbers.

  
  

• Writing some numbers in a standard form is often used.

Multiple Choice

Select an expressions for an odd number (n ∈ N)

• 2n+1

• 2n

• 3n

• 2n-1

• 3n+1

Multiple Choice

Select an expressions for an even number (n ∈ N)

• 2n+1

• 2n

• 3n

• 2n-1

• 3n+1

Multiple Choice

Select an expressions for a multiple of 3 number (n ∈ N)

• 2n+1

• 2n

• 3n

• 2n-1

• 3n+1

Multiple Choice

Select an expressions for a different multiple of 3 number (n ∈ N)

• 2k+1

• 2k

• 3n

• 2k-1

• 3k

Multiple Choice

Select an expressions for a prime (n ∈ N)

• n²+n+41

• 7n-3

• n²−61n+971

• 2n-9

• No Exist

Multiple Choice

n is an integer.

What is the even integer before 2n + 10?

• 2n - 10

• 2n + 12

• 2n + 9

• 2n + 8

Multiple Choice

n is an integer.

What is the next odd integer after 2n + 1?

• 2n - 1

• 2n + 3

• 2n + 2

• 2n - 3

Multiple Choice

n is an integer.

What is the multiple of 3 before 3n?

• 3n - 3

• 2n

• 3n + 3

• n - 3

Multiple Choice

n is an integer.

What is the integer before n+6?

• n + 7

• n - 6

• n + 4

• n + 5

Multiple Choice

n is an integer.

What is the integer before n?

• n+1

• n-1

• -n

• n-2

Multiple Choice

n is an integer.

What is the next integer after n?

• n

• 2n

• n + 1

• n - 1

Multiple Choice

n is an integer.

What is the next integer after n?

• n

• 2n

• n + 1

• n - 1

Multiple Choice

Select the correct version

We will now complete a series of proofs on our online mini-whiteboards

https://whiteboard.fi/PiggottY13