TheFibonaccisequence1,1,2,3,5,8,13,21……startswithtwo1s,andeachtermafterwardsisthesumofitstwopredecessors,whichoneofthetendigitsisthelasttoappearintheunitspositionofanumberintheFibonaccisequence?请翻译，最

Question

The Fibonacci sequence 1,1,2,3,5,8,13,21……starts with two 1s,and each term afterwards is the sum of its two predecessors,which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?
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Answer 1

niu_jiantao的正确
The Fibonacci sequence 1,1,2,3,5,8,13,21……starts with two 1s,and each term afterwards is the sum of its two predecessors,which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?
Fibonacci数列1,1,2,3,5,8,13,21……以两个1开头,此后每一个数都是前两个数的和.那么在Fibonacci数列中,10个阿拉伯数字中的那一个是在个位数上最后出现的?
解决方法：参见 niu_jiantao 的答案.
直接推算该数列,按照问题要求,只需要计算其个位即可.结果是1,2,2,3,5,8,3,1,4,5,9,4,3,7,0.
到这里,一共出现了9个阿拉伯数字,唯独6没有出现,那么将在最后出现的只能是6了!