Calculus- number and functions

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Hanif

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What is the 2007th digit after the period in the expansion of 1/7 ?
 
Hanif said:
What is the 2007th digit after the period in the expansion of 1/7 ?
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\(\displaystyle \dfrac{1}{7}=0.142857\,142857\,142857\,142857\,142857\,142857\,142857\,142857\cdots\)
There are six distinct digits in the repeating blocks. By simply counting, what is the fifteenth digit in the expansion?
Look at this: \(\displaystyle [15 \mod 6]=3\). Did you find that the fifteenth digit is a \(\displaystyle 2~?\) Note that two is the third digit in the repeating block.
Can you use the above link to solve your question?
Please post the answer.
 
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