1 Proof Flashcards

1
Q

What are the steps of doing a proof question?

A
  • What type of proof question is it?
  • Then do jottings
  • Then start proof
  • Always end with: Hence the statement is correct.
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2
Q

What is the difference between when a question asks about two consecutive numbers and any numbers?

A
  • when it is two consecutive numbers use the same letters

- When it is any two numbers use different letters.

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3
Q

How do you prove the sum to n of an arithmetic sequence?

A
  • Write out the sum normally and then write it out in reverse.
  • Then add together and gives you formula.

Forwards
Backwards
Add
Factorise.

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4
Q

How do you prove that an equation is positive?

A

Complete the square on it.

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5
Q

How do you approach a proof question?

A
  • Find what type of proof it is exhaustion, counter example, deduction or contradiction
  • Take the steps
  • Then write a concluding statement.
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6
Q

What is an even number?

A

2n

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7
Q

What is an odd number?

A

2n+1, 2n+3 etc

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