Sigma - Is this right?

Lizzie

Full Member
Joined
Sep 8, 2005
Messages
317
\(\displaystyle \Sigma\) is only used in cases where you are trying to find the Riemann sum???

If this is true, then what does the stuff on the top and bottom mean? I never fully understood this.
 
Hey Lizzie:

No, the capital sigma is not used exclusively for Riemann sums. It is used in Riemann sums, though, because you're adding up a bunch of rectangle areas.

It is used to indicate summation from some point, say n=1, to some other point, maybe infinity, maybe something finite.

For instance, let's say we wanted to add up all the numbers from 1 to 100:

we could write this as:

\(\displaystyle \sum_{n=0}^{100}n=1+2+3+4+....+100\)
 
Thanks for your wonderful explanation! Unfortunatly, I have already failed... I uhm, I mean taken my Calculus exam. Looks like I'll be frequenting this site next semester as well.
 
Well, out of two and a half pages of work and 10 problems with 2 hours to do them, I only FULLY understood the first page... That's how bad. My problem is that I got good grades in the first half of the semester because I already knew it before college, and then the second half I had to teach myself because it's an online course with NO interaction. That's where I started to fail and now I am going to have to retake Calculus. That's ok, tough because I wouldnt want to go on without fully understanding Calc. I'd just fail next year as well if I did that.
 
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