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

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TomLikesPhysics Group TitleBest 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

Shadowys Group TitleBest 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

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

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

daftkillz Group TitleBest ResponseYou've already chosen the best response.0
obviously
 one year ago

Shadowys Group TitleBest 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

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

TomLikesPhysics Group TitleBest ResponseYou've already chosen the best response.0
How?
 one year ago

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

Shadowys Group TitleBest 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

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

Shadowys Group TitleBest ResponseYou've already chosen the best response.1
You're welcome :)
 one year ago
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