SOLUTION: Find the 4000th digit following the decimal point in the expansion of \frac{1}{17}.
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Question 1207583: Find the 4000th digit following the decimal point in the expansion of \frac{1}{17}.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Use any method you choose to find that the sequence of repeating digits in the decimal for 1/17 is
.0588235294117647
That sequence has 16 digits.
4000/16 = 250 remainder 0
That means the 4000th digit after the decimal point in the fraction 1/17 is the last digit in the 250th occurrence of the repeating sequence, which is 7.
ANSWER: 7
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