anonymous
  • anonymous
Just something to work on, Prove \( \large \sum \limits_{k=1}^{n} k\times k! = (n+1)! -1 \) without using induction.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Zarkon
  • Zarkon
easy :)...use the same 'trick' I did for the last problem
anonymous
  • anonymous
Only few things could be somewhat hard for you Zarkon :D but still not all of us know how to read your mind :)
Zarkon
  • Zarkon
k=(k+1)-1

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More answers

anonymous
  • anonymous
Yes, telescopic summation :)
Mr.Math
  • Mr.Math
I've been trying a different approach, but it doesn't seem to be working :-(
myininaya
  • myininaya
ffm, zarkon has an alien brain
Zarkon
  • Zarkon
that is ture
Zarkon
  • Zarkon
I feel sorry for all you HUmons
anonymous
  • anonymous
Yes, all these professors seems to have that :P
asnaseer
  • asnaseer
\[\begin{align} \sum \limits_{k=1}^{n} k\times k!&=\sum \limits_{k=1}^{n} ((k+1)-1)\times k!\\ &=\sum \limits_{k=1}^{n} (k+1)! - k!\\ &=2!-1!+3!-2!+4!-3!+...+(n+1)!-n!\\ &=(n+1)!-1 \end{align}\]using hint given by Zarkon and telescopic sum as ffm indicated
myininaya
  • myininaya
I like that :)
asnaseer
  • asnaseer
all credit and trademarks belong to Zarkon and ffm :D
myininaya
  • myininaya
how much do they get paid, ffm?
asnaseer
  • asnaseer
Zarkon especially - he seems to have a brain like a laser! :D
Zarkon
  • Zarkon
Its Planet doom university...they really cultivate the young alien mind.
Mr.Math
  • Mr.Math
Sometimes the thought that he has got supernatural powers occurs to me :-P
asnaseer
  • asnaseer
:D lol! Zarkon
anonymous
  • anonymous
Myin, more than they could possibly spend, (they spend most of the time doing maths)
anonymous
  • anonymous
one 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
  • myininaya
Zarkon can you use that money to see me to plant doom university.
Mr.Math
  • Mr.Math
Me too please!
myininaya
  • myininaya
send* lol
anonymous
  • anonymous
@send?
Zarkon
  • Zarkon
only if you lived there...the out of planet tuition is outragious.
asnaseer
  • asnaseer
I'd be happy to stow away in the luggage compartment!
myininaya
  • myininaya
do you fold well?
Mr.Math
  • Mr.Math
haha
asnaseer
  • asnaseer
@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
  • Mr.Math
Looks like asnaseer has been to other planets too, haven't you?
asnaseer
  • asnaseer
Shhhh.... Mr.Math - you are ruining my plan to rule the Universe.... ;-)
myininaya
  • myininaya
Well anyways great question and great answer to all of the aliens involved.
anonymous
  • anonymous
Myin: Take a look at this M.SE thread (http://math.stackexchange.com/questions/18576/)
Mr.Math
  • Mr.Math
Whops! sorry.
myininaya
  • myininaya
so this is where you got the problem ffm? from this universe?
anonymous
  • anonymous
lol no, I just got it from MR.M's previous question.

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