Mathematical Induction simplification

  • Mathematica
  • Thread starter Chadlee88
  • Start date
  • #1
41
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Homework Statement



I have been workin on a mathematical induction question and have run into trouble with the simplification.



Homework Equations





The Attempt at a Solution



I know that the solution i am trying to reach is (k+2)!-1
but i do not know where to go from the equation:
(k+1)!-1 + (k+1)(k+1)! could someone plz help.
 

Answers and Replies

  • #2
123
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(k+1)!-1 + (k+1)(k+1)! could someone plz help.
rearrange - put the -1 at the end and then look closely at the two terms now together.

If you require more help please show what you have tried.
 
  • #3
mjsd
Homework Helper
726
3
if in doubt always write out what the factorial really means
 
  • #4
VietDao29
Homework Helper
1,423
2
Try to factor out (k + 1)!, and see if you can get the answer. Note that:
(n + 1) n! = (n + 1)!
Can you go from here? :)
 
  • #5
1,631
4
(k+1)!-1 + (k+1)(k+1)!= (k+1)!+(k+1)(k+1)!-1, so here as the
others explained you need to factor out (k+1)!, so you will get
(k+1)!(1+k+1)-1=(k+2)(k+1)!-1, so now look at what vietdao said, and you will come to the right answer.
 

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