# Name the three different types of proofs you saw in this lesson. give a description of each.

**Question: Name the three different types of proofs you saw in this lesson. give a description of each.**

In mathematics, there are three common types of proofs: direct proof, proof by contradiction, and inductive proof. A direct proof involves starting with known facts and using logical steps to arrive at the conclusion. Proof by contradiction assumes the opposite of what you want to prove and shows that this assumption leads to a contradiction, thereby proving the original statement. Inductive proof, or mathematical induction, is used to prove statements about natural numbers by proving a base case and then showing that if the statement holds for an arbitrary case \(n = k\), it also holds for \(n = k + 1\). Each method provides a different approach to establishing the truth of mathematical statements.

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