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anonymous
 4 years ago
Just something to work on,
Prove \( \large \sum \limits_{k=1}^{n} k\times k! = (n+1)! 1 \) without using induction.
anonymous
 4 years ago
Just something to work on, Prove \( \large \sum \limits_{k=1}^{n} k\times k! = (n+1)! 1 \) without using induction.

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Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.1easy :)...use the same 'trick' I did for the last problem

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Only few things could be somewhat hard for you Zarkon :D but still not all of us know how to read your mind :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, telescopic summation :)

Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.0I've been trying a different approach, but it doesn't seem to be working :(

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0ffm, zarkon has an alien brain

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.1I feel sorry for all you HUmons

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, all these professors seems to have that :P

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8\[\begin{align} \sum \limits_{k=1}^{n} k\times k!&=\sum \limits_{k=1}^{n} ((k+1)1)\times k!\\ &=\sum \limits_{k=1}^{n} (k+1)!  k!\\ &=2!1!+3!2!+4!3!+...+(n+1)!n!\\ &=(n+1)!1 \end{align}\]using hint given by Zarkon and telescopic sum as ffm indicated

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8all credit and trademarks belong to Zarkon and ffm :D

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0how much do they get paid, ffm?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8Zarkon especially  he seems to have a brain like a laser! :D

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.1Its Planet doom university...they really cultivate the young alien mind.

Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.0Sometimes the thought that he has got supernatural powers occurs to me :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Myin, more than they could possibly spend, (they spend most of the time doing maths)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0one time someone asked me why they call it "telescope" which was the first time i realized that it was not obvious. i guess modern telescopes don't actually "telescope"

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0Zarkon can you use that money to see me to plant doom university.

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.1only if you lived there...the out of planet tuition is outragious.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8I'd be happy to stow away in the luggage compartment!

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8@satellite  we still have telescopic aerials, poles, etc  you could use those as examples? :) @myininaya  yes  I was trained especially for that by being fed lots of soft bananas :D

Mr.Math
 4 years ago
Best ResponseYou've already chosen the best response.0Looks like asnaseer has been to other planets too, haven't you?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.8Shhhh.... Mr.Math  you are ruining my plan to rule the Universe.... ;)

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0Well anyways great question and great answer to all of the aliens involved.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Myin: Take a look at this M.SE thread ( http://math.stackexchange.com/questions/18576/)

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.0so this is where you got the problem ffm? from this universe?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol no, I just got it from MR.M's previous question.
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