Inductive And Deductive Reasoning Assignment

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Details

  1. Create a number trick that always ends with number of siblings you have or anyone else has. Use at least three different operations and at least four steps.
  2. Test your number trick at least 3 times to show that it works.
  3. Use deductive reasoning to develop a proof of your conjecture.
  4. Is there a number that will not work in your number trick? Explain.

Here is an example:

Statement Test 2 siblings 0 siblings Deductive Reasoning
The number of siblings that you have 2 0 x
Add 8 10 8 x+8
Multiply by 4 40 32 4x+32
Subtract 12 28 20 4x+20
Divide by 2 14 10 2x+10
Subtract 10 4 0 2x
Divide by 2 2 0 x

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