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docs: update education/mathematics/mathematical-induction

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title: 數學歸納法 (Mathematical Induction) title: 數學歸納法 (Mathematical Induction)
description: description:
published: true published: true
date: 2026-02-11T17:14:35.544Z date: 2026-02-11T17:16:01.234Z
tags: tags:
editor: ckeditor editor: ckeditor
dateCreated: 2026-02-11T17:14:35.544Z dateCreated: 2026-02-11T17:14:35.544Z
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<p>Fundamental Principle</p> <h3>Fundamental Principle</h3>
<p>Mathematical induction is a method used to prove that a statement holds true for all natural numbers k.</p> <p>Mathematical induction is a method used to prove that a statement holds true for all natural numbers k.</p>
<p>Let P(n) be a statement defined for each positive integer n.</p> <p>Let P(n) be a statement defined for each positive integer n.</p>
<p>Then P(n) will be true for all positive integers n if the following two conditions are satisfied:</p> <p>Then P(n) will be true for all positive integers n if the following two conditions are satisfied:</p>