SAT-OG上的数学问题5.10100100010001 ...The decimal number above consists of only 1's and 0's to the right of the decimal point.The first 1 is followed by one 0,the second 1 is followed by two 0's,the third 1 is followed by three 0's,and so on.What is the total n
2019-05-23
SAT-OG上的数学问题
5.10100100010001 ...
The decimal number above consists of only 1's and 0's to the right of the decimal point.The first 1 is followed by one 0,the second 1 is followed by two 0's,the third 1 is followed by three 0's,and so on.What is the total number of 0's between the 98th and the 101st 1 in this decimal number?
一楼的朋友谢谢你的回答,但是没有过程
二楼和三楼的朋友答得很简洁,真的非常感谢,真想都给你们分,但是只能选一个,鉴于二楼的朋友答得更早,就还是给他吧,不好意思哦
优质解答
第一个1和第二个1之间有1个0
第二个和第三个间有2个0
.
第98个和第99个之间有98个
第99和100个间有99个
第100和101个间有100个
故共有98+99+100=297个
第一个1和第二个1之间有1个0
第二个和第三个间有2个0
.
第98个和第99个之间有98个
第99和100个间有99个
第100和101个间有100个
故共有98+99+100=297个