SOLUTION: If 1/7 is expressed as a decimal, find the 75th digit to the right of the decimal point. Thanks for your help.

Algebra ->  Equations -> SOLUTION: If 1/7 is expressed as a decimal, find the 75th digit to the right of the decimal point. Thanks for your help.      Log On


   

Question 988604: If 1/7 is expressed as a decimal, find the 75th digit to the right of the decimal point. Thanks for your help.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
1/7=0.142857142857...
.
The six digits 1,4,2,8,5, and 7 repeat. 75/6=12.5, so the sequence will repeat completely 12 times before 75. After 12 repetitions we will be ending the sequence at position 72. At position 73 the sequence starts with 1, 4 at 74. and 2 at position 75.
ANSWER: The 75th digit is 2.