[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y ] [Home]
4chanarchives logo
Help me get this straight anons

You are currently reading a thread in /sci/ - Science & Math

Thread replies: 12
Thread images: 2
File: LR8nqDw_700wa_0.gif (738 KB, 320x240) Image search: [Google]
LR8nqDw_700wa_0.gif
738 KB, 320x240
I have an arithmetic sequence 0,1,2,3...,2n
a1=0
Now the sum of the numbers at the even places is
n^2 if I'm not wrong, I used the standard arithmetic sequence sum formula where my first value is 1 and my last value is 2n-1 and the number of vlues is n.
Did I do this correctly ?
>>
>>8187214
s(0) = 0
s(1) = 2
s(2) = 6
s(3) = 12

none are square
>>
>>8187251
When you do S(3) my formula will calculate the first 3 values of the series ,that's what I meant
>>
>>8187270
oh

so S(3) = s(0)+s(1)+s(2)+s(3)?
>>
You are correct op
>>
>>8187277
This is 20, still not a square.
>>
File: thing.png (3 KB, 310x305) Image search: [Google]
thing.png
3 KB, 310x305
>>8187300
>>8187277
>>8187251
I think op's sequence starts at 1, so

S = 1, 3, 5, 7 ...
Which does indeed sum to square numbers as you add successive terms.
Pic related proves this in a nice way :)
>>
>>8188149
Oh, that makes sense. Thanks.
>>
>>8188149
>Pic related proves this in a nice way :)
That's not a proof. It's a geometric intuition.
>>
>>8188968
it's a proof you retard. how stupid can you be not to realize this is a proof?
>>
>>8188968
it's trivial to see a proof from it, come on
>>
>1,2,3...2n

kek
Thread replies: 12
Thread images: 2

[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y] [Home]

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.
If a post contains personal/copyrighted/illegal content you can contact me at [email protected] with that post and thread number and it will be removed as soon as possible.
If a post contains illegal content, please click on its [Report] button and follow the instructions.
This is a 4chan archive - all of the content originated from them. If you need information for a Poster - you need to contact them.
This website shows only archived content and is not affiliated with 4chan in any way.
If you like this website please support us by donating with Bitcoin at 1XVgDnu36zCj97gLdeSwHMdiJaBkqhtMK