Consider the following series written in form of a decimal
A = 1/9 + 1/99 + 1/999 + ... + 1/(10100 - 1)
Find the digit in the 71st place after the decimal point.
I assume it's irrational.
It seems interesting to me but the length of the entry indicates the number doesn't come up too often. Probably because it is restricted to base 10. It does point out this is 9*the sum of the reciprocals of the repunits.
Posted by Jer
on 2019-05-20 19:44:45