Induction Hypothesis

The induction hypothesis is a key concept in mathematics and logic, used in a method called mathematical induction. It involves two main steps: first, proving a base case (like showing a statement is true for the number 1), and then assuming the statement is true for a particular case, usually represented as "n." This assumption is the induction hypothesis. The next step is to prove that if the statement is true for "n," it must also be true for "n+1." By doing this, you establish that the statement is true for all natural numbers, starting from the base case.