Question

how does this simplify to one?!

Answer 1

want some beer?

Answer 2

Wow, Sourwing, WTH?

Answer 3

nick, would you like some beer too? there's plenty :DD

Answer 4

Well, what brew?

Answer 5

Ela, coming up with an answer for you.

Answer 6

BudLight :DD

Answer 7

dude, if youre gonna try to intoxicate unsuspecting victims at least do it with like candy or something

Answer 8

I'm a Blue Moon man, myself. Thanks though, Sourwing. 'Precciate it.

Answer 9

ok :3

Answer 10

Okay, so while x=-3, then this is what's happening:

The condition described here; ( (-1)^n * (-2)^n) ) / (2)^n ...Is equal to one when x=-3.
You can see that when you fill in n with -3. Does this help you?

Answer 11

well actually -3 was substituted for x not in in this summation @NickDantzlerward

Answer 12

I'm sorry, I must not understand, what happened?

Answer 13

this was the original summation

Answer 14

basically this is the whole problem...

Answer 15

So x=-3 still, correct?

Answer 16

yes

Answer 17

I'm just wondering how that specific part simplified to 1 ?

Answer 18

That there...is a sexy-looking problem. I'm not actually deeply familiar with this 'interval of convergence' concept, but I'm gonna study the brains out of it tonight. I think I understand it a little bit...I will solve this. I absolutely will.

I'll get back to you as quickly as I can.

Answer 19

@NickDantzlerward oh thank you! i appreciate it!

Answer 20

Ha-ha...Absolutely. Y'know how it is though, as soon as I learn something amazing, someone's already given you a solution. XD

I'll see what I can do.

Answer 21

Yikes, hey Ela, I know this seems crazy, but I really want to know how these work. Do you think that actually you might be able to show me the basics of how these are done?

Looks like I need help now... :D

As soon as I get how these work, then I can find the reasoning behind all the problems like the one you showed me.