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数学
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求证 2^(6n-3)+3^(2n-1)能被11整除
人气:107 ℃ 时间:2019-12-21 19:45:46
解答
1)n=1时,2^(6-3)+3^(2-1)=11能被11整除,所以n=1时结论成立.2)设n=k时k属于N)2^(6 k-3)+3^(2k-1)能被11整除.则n=k+1时2^(6k+3)+3^(2k+1)=64*2^(6k-3)+9*3^(2k-1)=64*2^(6k-3)+64*3^(2k-1)-55*3^(2k-1)=64...
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