Question

Can someone out there check my understanding of how Integrals/ Sigma Notation works? A have a (tidy) sketch outlining my inquiry on the following link:

http://www.twiddla.com/1504676

Any and all help is greatly appreciated! :)

Answer 1

I know.... Everyone's favorite, right ;)

Answer 2

I see nothing...

Answer 3

*damn it

Answer 4

I see your green line! :)

Answer 5

(Of top of the picture)

Answer 6

Now???

Answer 7

Nothing, eh?

Answer 8

equation editor > hand drawn crap :P doesn't take long if you copy and past things like sigma\[\Large \sum_{k=1}^{n}(a_k +1) = \sum_{k=1}^{n}a_k -1\]

Answer 9

what would make you think that is true, though?

Answer 10

...I'm not too sure. I don't know what it's all supposed to equal, if the integral/sigma thing of just asubk = 0, but I know you move coefficients outside, so I thought perhaps you should do the same with other non-variable terms.

Answer 11

since you're just adding 1 to each term, this is true\[\Large \sum_{k=1}^{n}(a_k +1) = \sum_{k=1}^{n}a_k +n\]

Answer 12

Gotta.... Alright, I see that... So then would (sigmathing of asubk) + n = the left side of the equals sign, in your post? My original problem/ integral?

Answer 13

er... what?

Answer 14

Does, referring to your second to least post, the left side of the equals sign = "n" , because (sigma-thing of a sub k) = 0, & the original one I'm using = (sigma(asubk)) + n ? So... If I'm understanding your second to last post correctly, it's: "0 + n" = n

Answer 15

Just copy and paste what i wrote, into the equation editor. It's worth learning.

If the term a is zero, then it's sum is obv zero.

Answer 16

What's the equation editor? :/

Answer 17

The thing that comes up when you click the Equation button...

Answer 18

Haha, I must be really missing out on the OS experience man... Apparently my iPad (iOS & Mobile combined) is cutting out parts of the site. I have yet to lay eyes on such a beautiful feature!

Answer 19

Ah, yeah no wonder you're making drawings :P

Answer 20

It's okay, I'll bug my teacher again tomorrow. You've been helpful, and thank you for that! :)

Answer 21

Yeah, drawings & "longhand" algebra. Ick

Answer 22

To bed I go... Have a good night!