+2653 Find the $4000$th digit following the decimal point in the expansion of $\frac{1}{17}$
+1892 Let's note that 1/17 is a repeating decimal.
\(1/17 = 0.\overline{ 0588235294117647}\)
There are 16 repeating digits in the decimal.
Dividing 4000 by 16, we get
\(4000/16 = 250\)
Since it is divisble, then we can conclude that the last digit of the repeating decimal is the correct answer.
Thus, 7 is the final answer.
Thanks! :)
