Way back in the beginning of the year you learned about 2 kinds of reasoning. Later you learned to write proofs. Remember how much fun that was!!!!

**Inductive Reasoning:** This kind of reasoning is based on patterns that you observe. Here’s an ex.

1+3=4

1+3+5=9

1+3+5+7=16

1+3+5+7+9=25

Based on this pattern, what is the sum of the first 9 consecutive positive odd numbers?

a. 49

b. 64

c. 81

d. 100

**Answer: c Do you see the pattern?.**

**Deductive Reasoning:** This kind of reasoning is based on facts…theorems, postulates, properties. When you write a proof using theorems, you are using deductive reasoning.

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