diff --git a/education/mathematics/binomial-theorem.html b/education/mathematics/binomial-theorem.html index 27357b4..7f7d680 100644 --- a/education/mathematics/binomial-theorem.html +++ b/education/mathematics/binomial-theorem.html @@ -2,7 +2,7 @@ title: 二項式定理 (Binomial Theorem) description: published: true -date: 2026-02-11T17:29:21.356Z +date: 2026-02-11T17:30:42.340Z tags: editor: ckeditor dateCreated: 2026-02-11T17:24:46.603Z @@ -184,4 +184,28 @@ dateCreated: 2026-02-11T17:24:46.603Z

Hence, the constant term is -2,857,026,816.

 

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E5 Example

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Q

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Let n be a positive integer that in the expansion of 

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. The coefficient of the third term is 1,029.

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Find the value of n and the coefficient of x12.

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A

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The 3rd term is 3 - 1 = 2, 

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Hence, the general term is 

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Set 21 - 3r = 12, r = 3

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The coefficient of x12 is 12,005.

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