We write all the positive integers run together as follows: $123456789101112131415 . . .$ What three digit number begins at the $2014th$ digit? I was thinking number theory here. Modulus. Can so...

Jan 3, 2015 · This is an infinite string of digits. But this string, when we try to interpret it in decimals, does not encode a number, i.e., an element of $ {\mathbb N}$ or $ {\mathbb R}$. Natural numbers, …

Jan 3, 2015 · If you meant for the string to be $1 + 2 \cdot 10 + 3\cdot 10^2 + \cdots + 9 \cdot 10^8 + 1 \cdot 10^9 + 0 \cdot 10^ {10} + 1 \cdot 10^ {11} + \cdots$, then yes it is a $10$-adic integer. But the …

Mar 28, 2015 · I mis-edited it, assuming he was asking digit, but then saw the question in more detail. @barakmanos

Jan 17, 2012 · Given the sequence 123456789: You can insert three operations ($+$,$-$,$\\times$,$/$) into this sequence to make the equation = 100. My question is: is there a way to solve this without …

How do I find the $2013$th digit of the string $12345678910111213141516\\ldots$ I still don't get it, how are you suppose to find the exact digit. How did you hint ...

Jan 3, 2014 · BdMO 2013 Rajshahi Build a number by writing down consecutive natural numbers starting from $1$ which is divisible by $6$ and gives a reminder of $6$ upon division by $16$. Such …

Question: I don't recall going over these at all in my chem class so I'm unsure how to answer them I'd really like to know how to solve them