### Brain Teasers

# T4 and D4

D4 was trying to impress everyone at T4's birthday party by giving T4 a math problem. Celebrating 1994, T4's birth year, what is the 1994th digit in the decimal expansion of 1/7 to the right of the decimal point?

### Hint

Actually do the math for a bit...### Answer

4.Any number not a multiple of 7 will divide out with the pattern 1,4,2,8,5, and 7. 1/7 is simply 0.1428571428571428571428757... Divide 1994 by 6 and get 332 with remainder 2. 4 is the second digit of the six-digit pattern, so it is also the 1994th digit.

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