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Hello students, the principle of mathematical induction is a powerful mathematical technique.
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Principle of mathematical induction used to prove statements about integer or natural numbers.
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It's often used to establish the truth of statement that hold for all positive integers or subset them.
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The principle consists of two main steps, the base case and the inductive step.
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So the first is base case.
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First we need to prove the statement holds true for specific starting value, usually the smallest value.
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This is called base case.
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It's like setting the foundation for the induction argument.
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The second is inductive step.
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So after proving the base case, we move on to the inductive step.
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The step consists of two parts, the induction hypothesis and inductive proof.
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So the first is induction hypothesis...