Find the \(291^{st}\)digit past the decimal point in the expansion of \(1/37\).
thanks for thy help!
1/37= .027 027 027 027.... every multiple of 3 is a 7 291 is a multiple of 3 the 291st digit is 7
If you put 1/37 into a calculator, you get \(0.\overline{027} \), so every third digit will be a 7.
291 mod 3 results in 0, meaning that 291 is divisible by 3, so the 291st digit will be 7.