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docs: update education/mathematics/mathematical-induction

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2026-02-11 17:21:47 +00:00
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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: 2026-02-11T17:21:19.387Z date: 2026-02-11T17:21:46.543Z
tags: tags:
editor: ckeditor editor: ckeditor
dateCreated: 2026-02-11T17:14:35.544Z dateCreated: 2026-02-11T17:14:35.544Z
@@ -23,7 +23,7 @@ dateCreated: 2026-02-11T17:14:35.544Z
<p><span style="font-family:Arial, Helvetica, sans-serif;">A For n = 1,&nbsp;</span></p> <p><span style="font-family:Arial, Helvetica, sans-serif;">A For n = 1,&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure> <figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAA8CAMAAAB2KinJAAAAAXNSR0IArs4c6QAAAGxQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOpC2OpDbZgAAZjoAZjo6ZpDbZrbbZrb/kDoAkGY6kNv/tmYAtpBmttv/tv//25A627aQ2////7Zm/9uQ/9u2//+2///bbhB9UwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABw0lEQVRYR+1X61rDIAwFb5s63bxUcXa2k/d/R0dpgAK26Vcu0w/+jC5wODkBQggprShQFCgKFAX+pAL84/5TE683e/UxtCCdMwFwU3j18GWObO9e+0/bgsMjGgA3gVeP/cDD03vXa2/lr2uZQLQBcARIcylDcNzRvkfqm04Uj0XHpwKh1F8uAI4Br1bS8c2+BgZSBJ9lhIELgCNA2rVyRjGQ8vssYxoQYgEgGTQXMuinpgAIE7p4LTCWu1FwABYxEBthEQO5k1BNO25qIAC8FoHJKDStny3iDAb+KKTUIP8+8O347+3CsyABkA1OvTgLENbhfWBaJk7jEADJAG4+/rY+7a+r5+5YDu5E0zLCwAOApKBvf5jg5gUklA2AnRY1N0KyGicT731gJCusHmHHmckqLPIMNONinTEr5NDzY/BrTgnp9gBrWgOV5sJ3rHQZzckJYFuDc4xCbG1Utou9kB/fm9PyUPknq/LDjtJr9bLP4BWjL+S4haoqAwFZxNTUqRYTc2myM2A5oyDUNl72icXvl3PftIl5GJVF4pVhObbC18NRKHZlTDOjGgvNoitjOMvIoH9aZGQQWtOCVxQoCqRT4Af0FyXaC/HMtgAAAABJRU5ErkJggg=="></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The statement is true for n = 1.</span></p> <p><span style="font-family:Arial, Helvetica, sans-serif;">The statement is true for n = 1.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For n = k + 1, Assume the statement is true for some integer k &gt;= 1.</span></p> <p><span style="font-family:Arial, Helvetica, sans-serif;">For n = k + 1, Assume the statement is true for some integer k ≥ 1.</span></p>
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