<PRE><B>Question 472628</B>
You basically have to look for patterns in each of the terms, then find a general term.


*[tex \LARGE \sum_{i=12}^{16} \frac{1}{i}]


*[tex \LARGE \sum_{i=1}^{6} \frac{3i}{(i+1)^2}]


There are many ways to write the summation, these ones are probably the simplest. Note that i does not denote the square root of -1; it is simply conventional to use the letter for summations (I have no clue why).</PRE>