Post...

Okay. So for the past couple of days we've been doing sequences and series. So, basically there are a few cardinal rules you should follow.. For example:

1. A sequence converges if it's limit is a number. It diverges if there's an infinity anywhere in it. For instance:
Given the sequence represented by the equation (n+1)/(n^2), say whether the sequence converges or diverges...at this point you would take the limit as n approaches infinity. In this case if would approach 0 because your limit rules say that if the degree of the top is less than the degree of the bottom, the limit approaches 0. Got it? So the entire sequence converges to 0 (a number)


2. Now for the difference between a sequence and a series. Indeed, I believe we learned this back in Advanced Math, but BRob stressed to us that Tir had issues with it, so might as well knock it in there a couple of times.

A sequence is just a list of numbers...aka...1, 3, 5, 7,...
**Note for this one it would be all odd numbers

A series is basically the same thing as a sequence, except that you have like addition signs in it...for example...3+4+5+6+7..
**Se those addition signs?? yeah, they're the ones you look out for..

3. Okay, so where I got a little tripped up was when we were saying: "If___, then___" But now, I think I've got it right..

Comment if you agree with this, "If the sequence of the series converges, then the series converges"

"If the sequence of the series diverges, then the series diverges"

I have a feeling that when the AP comes around, we'll most likely have to put this SOMEWHERE....anywho.

FOR STUFF YOU CAN COMMENT ON!

I truly was shaky on the whole find the sequence of the series...is that where you just find the terms plugged into the formula?

Also, I need help with sigmas...I'm used to having Step by Step Steps, and I don't. Could someone sum them up for me??? Thank you oh so much!