n=1 : 1(n+1) = 2
n=2 2(2+1) = 6
n=3 3(4) = 12
n=4 4(5) = 20
...
So n simply represents the set of number going 1 to 100.
Then we can reduce the series by using the same rule as a telescopic series to get the sum.
http://en.wikipedia.org/wiki/Telescoping_series
Hi Grossgermany,
To answer the question, I'm assuming you have a rough idea of Calculus.
We know that the derivative of a formula, tells us the rate of change of the formula. We also that both formulas are always positive.
(Sorry no Latex I tried to make it works, but i failed. )...
Hi Darkstar,
Sorry I can't answer your question, but maybe you could take a look at this post.
https://www.physicsforums.com/showthread.php?t=368983
Your question and his questions are related.
I've asked myself this questions a few years ago, and It is not be the official answers but it helped me understand the "Why".
Integral(0 to infinity) ( 1/x) dx = Ln(x) +C , where C = 0.
So we can clearly see that as the n increase, it doesn't converge to any number.
An other way of...
Of what I understand, the Big Bang was an instantaneous. The big bang represent the Singularity, where a Model must be use.
Then, researchers has been able to go back up to 10^-37 seconds after the singularity happened. Then, still based on the Model, out of the big bang, the universe cooled...