Question 938087
<pre>
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:
   
 <u>  666</u>
6)4000
  <u>36</u>
   40
   <u>36</u>
    40
    <u>36</u>
     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</pre>