What is the \({4000}^{th}\) digit following the decimal point in the expansion of \(1/175\)
1/175 is a fraction with a repeating decimal = . 00571428
Red part is the repeating part
We can solve this
2 + 6n = 4000
6n = 4000 - 2
6n = 3998
n = 666 + 2/3
The 4000th digit is the second interger in the pattern = 7