The Principle of Induction

The Principle of Induction is a logical method used to prove that a statement holds for all natural numbers. It works in two steps: first, you verify the statement is true for the starting number (usually 1). Then, you show that if it's true for any particular number, it must also be true for the next one. By establishing these two steps, you create a chain of truth that extends from the first number through all others. This method is a fundamental way to confirm truths that involve sequences or counts in an orderly progression.