m2問題........(thX for a lot<
2012-08-07 11:30 pm
7^n+6n+5 which is divisible by6....prove by bionomial expansion點做啊??????????????????????????????????????????????????????????????????????????????????????
回答 (1)
2012-08-07 11:55 pm
✔ 最佳答案
7n + 6n + 5= (6 + 1)n + 6n + 5
= 6n + nC1 x 6n-1 + ... + nCn-1 x 6 + 1 + 6n + 5
= 6n + nC1 x 6n-1 + ... + nCn-1 x 6 + 6n + 6
So this should be divisible by 6 since each term is divisible by 6.
參考: 原創答案
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https://hk.answers.yahoo.com/question/index?qid=20120807000051KK00532