Quandaries
and Queries 

Ken parent secodary a.) Explain the difference between b.) Explain the difference between 

Hi Ken, Suppose that you have the series
The terms in the series are of the form
A neater way to write this series is to use a variable to represent the integer and say that the integer varies between 1 and 5. Suppose that I use the letter i represent the integers then the terms are of the form ai where i is 1, 2, 3, 4, or 5. Thus
The letter that you use to represent the integer is unimportant. I could have used j rather than i and then
If, however, you have the series
and you want to write this in the same neat way then it would be
or, as in your last example
I used the ... notation since I don't know what n is. In fact in this last case you can write the series even more efficiently
Penny 

