斗牛倍数有99倍的是那个版本

一个数是99倍的99的99是多少?_百度知道
一个数是99倍的99的99是多少?
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出门在外也不愁99个数排成一行:0,1,3,8,21,…除了两头的两个数以外,每个数的3倍都恰好等于它两边的两个数的和.这99个数中有多少个奇数?
pizza瓶子1739
99个数的奇偶性为偶、奇、奇、偶、奇、奇、偶、奇、奇……99/3=33所以共有33*2=66个奇数
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这个排列有如下规律:0(偶数)1;(奇数)3*1-0=3; (奇数)3*3-1=8; (偶数)8*3-3=21; (奇数)21*3-8=55. (奇数)我们可以发现这组数正好是一个偶数两个奇数循环,69能被3整除,完全循环,所以有三分之二个奇数,即66个
因为奇数的3倍是奇数,偶数的3倍是偶数,所以当排列是a,b,c,d,e时如果a是偶数,b是奇数,则c一定是奇数(奇数-偶数=奇数)由于偶数加奇数是奇数,所以d一定是偶数,那么e就是奇数了所以奇偶的排序是偶,奇,奇,偶,奇,奇。。。所以奇数占的比列是2/3 那么99个中奇数个数就是99*2/3=66个...
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