Question: 1. Use inductive reasoning to find a pattern and make a reasonable conjecture for the next three numbers by using that pattern. 1, 4, 2,

1. Use inductive reasoning to find a pattern and make a reasonable conjecture for the next three numbers by using that pattern. 1, 4, 2, 5, 3, 6, 4, 7, 5, ...

2. Verify that each of the following statements is a false statement by finding a counter example for each. For all numbers x,

x/x= 1 x+3/3 = x + 1

3. Use deductive reasoning to show that the following procedure produces a number that is three times the original number.

Procedure: Pick a number. Multiply the number by 6, add 10 to the product, divide the sum by 2, and subtract by 5.

Hint: Let n represent the original number.

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