Explain what is wrong with the following inductive argument that all horses are the same color. Now the first n of these horses all must have teh same color, and the last n of these must also have the same color. As you can see, induction used improperly can prove ridiculous things. Often times the mistakes are subtle. It takes a good understanding of induction to use it correctly.
Induction is a powerful method of proof, but in the wrong hands it can be dangerous.