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I have a question regarding the sum stuff with the big sigma.
 one year ago
 one year ago
I have a question regarding the sum stuff with the big sigma.
 one year ago
 one year ago

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TomLikesPhysicsBest ResponseYou've already chosen the best response.0
According to my book this is true: \[\sum_{k=1}^{n}1=n\] Why is this sum n and not 1 or 0 since there is nothing to sum?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
there is. The summation notation means that 1 is added n times. So, it's 1+1+1+1+1+1+1+1...+1 {n times }=n
 one year ago

daftkillzBest ResponseYou've already chosen the best response.0
or you could factorise quadratically but that would take way longer
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
Why do I add the 1s since there is no index k?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
\[\sum_{k=1}^{n}1 = 1+1+1+1+1+......+1 =n\] if there is no k, then there is none. k=1 simply means you start from first terms. in this case,it's 1
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
the k can be omitted, actually.
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
\[\sum_{k=1}^{n}=\sum_{1}^{n}\]
 one year ago

ShadowysBest ResponseYou've already chosen the best response.1
writing k is mostly a formality but in this case without the index, then we simply ignore it and just add up 1s n times
 one year ago

TomLikesPhysicsBest ResponseYou've already chosen the best response.0
Ok, now I think I get it. Thank you Shadowys for your help.
 one year ago
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