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3 – 6 Inductive Reasoning
B) Using Inductive Reasoning:
1) Look for a pattern
2) Make a conjecture
- A conjecture is an unproven
statement that is based on observations.
3) Verify the conjecture
– that it is true in all cases
4) Counterexample
– give an example that shows a
conjecture is false.
• Ex. 2 Predict the next number.
a) 17, 15, 12, 8,__
16 16
b) 48, 16, , , ___
3 9
• Ex. 3 Sketch the next figure.
Now write the first four terms of a sequence of
numbers that gives the number of toothpicks used
to form each figure. Predict the next number.
• Accept the two statements as given
information. State a conclusion based on
deductive reasoning.
• 1) AB is longer than BC.
BC is longer that CD.
• 2) 12 is greater than interger m.
m is greater than 8.