Is this Arithemtic? Big math-thingy

master_dogbob

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Sep 19, 2016
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I need help with this math:

Numerical line starting with 10, then 10,01, then 10,02 and so it goes. So first 10, then an increase of 0,01 per occurrence. This numerical line is finnished when 10000000000000000000 is Reached. How I calculate the totality of all numbers in this numerical line is what I am asking for help with.

Thank you.
 
To me, Denis' interpretation seems like it's probably the correct one. Assuming that is the case, my question is you is: What have you learned about the sigma operator (sometimes called the sum function)? To refresh your memory, the sigma operator looks like this:

\(\displaystyle \displaystyle \sum _{k=n}^m\:\text{(Expression of k)}\)
 
I need help with this math:

Numerical line starting with 10, then 10,01, then 10,02 and so it goes. So first 10, then an increase of 0,01 per occurrence. This numerical line is finnished when 10000000000000000000 is Reached. How I calculate the totality of all numbers in this numerical line is what I am asking for help with.

Thank you.
To offer a bit more detail (as I understand the question): You have an arithmetic sequence,
\(\displaystyle a_k\) = 10 + k * .01, k = 0, 1, 2, 3, ..., N
where
\(\displaystyle a_N\) = 10000000000000000000
and you then want the value S where
S = \(\displaystyle \sum \limits_{k=0}^N\,\,\, a_k\)
 
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