Question 938087: if the digits 6,5,4,3,2,1 are written in that same order over and over again, what will be the 4000th digit
Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! 6 digits written in that same order ( 6,5,4,3,2,1) over and over again
what will be the 4000th digit
.....
4000/6 = 666 2/3 0r 666 4/6
4000th digit will be 3
Answer by Edwin McCravy(20054)  (Show Source):
You can put this solution on YOUR website!
Fractions are a confusing way to explain this. Rather than use fractions,
it would be better to divide 4000 by 6 by long division and look only at the
remainder:
666
6)4000
36
40
36
40
36
4
The 666 quotient tells us how many COMPLETE times the sequence goes through
the cycle of 6,5,4,3,2,1, and the 4 remainder tells us which member of the
cycle is the 4000th digit.
Since the 4th member of the cycle is 3, the answer is 3.
Edwin
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