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/sci/ - Science & Math

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4021371

Anonymous Wed Nov 9 18:20:34 2011 No.4021371 [Reply] [Original]

<span class="math">\sum_{k=o}^{n} -1^{k} {n \choose k}[/spoiler]

Help please

>>	Anonymous Wed Nov 9 18:35:18 2011 No.4021423 File: 29 KB, 212x265, 1315949559017.jpg [View same] [iqdb] [saucenao] [google] http://www.wolframalpha.com/input/?i=Sum[%28-1%29^k*Binomial[n%2Ck]%2C{k%2C0%2Cn}]

>>	mathgimp !51ti2nm6/E Wed Nov 9 18:36:26 2011 No.4021425 it's always zero

>>	Anonymous Wed Nov 9 18:42:05 2011 No.4021439 >>4021425 workings?

>>	Anonymous Wed Nov 9 18:43:14 2011 No.4021442 >>4021425 not for n = 0

>>	Anonymous Wed Nov 9 18:45:29 2011 No.4021446 testan \sum_{k=penis}

>>	Anonymous Wed Nov 9 18:45:38 2011 No.4021447 <div class="math">0=(1+(-1))^n=\sum_{k=0}^{n} (-1)^{k} {n \choose k}</div> For <span class="math">n\geq 1[/spoiler].

>>	mathgimp !51ti2nm6/E Wed Nov 9 18:47:45 2011 No.4021452 >>4021439 if n is odd it's obvious from taking nCn-k = nCk n is even you can probably use the recursive formula for nCk. i dunno lol. details >>4021442 yeah okay

>>	mathgimp !51ti2nm6/E Wed Nov 9 18:47:45 2011 No.4021453 >>4021452 or this lol >>4021447

>>	Anonymous Wed Nov 9 18:55:42 2011 No.4021469 OP=Faggot fuck that dog.

>>	Anonymous Wed Nov 9 19:00:14 2011 No.4021488 >>4021469 So mean ;_;