1*1!+2*2!+3*3!+4*4!+.......+2012*2012!

• answer is (2013!-1)
  1*1!+2*2!=5->(3!-1)
  here 5 can be converted like this so
  1*1!+2*2!+3*3!=23->(4!-1)
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  so we can write as 2012*2012!=2013!-1
• 10 years agoHelpfull: Yes(21) No(2)
• 1*1!=2!-1
  1*1!+2*2!=1+4=3!-1
  1*1!+2*2!+3*3!=1+4+18=23=4!-1
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  Similarly, 1*1!+2*2!+3*3!+4*4!+.......+2012*2012!=2013!-1
• 10 years agoHelpfull: Yes(3) No(0)
• since it follows the pattern of 1*1!+2*2! = 3!-1so
  ans would be 2013!-1
  
• 10 years agoHelpfull: Yes(0) No(0)
• Answer is 2013!-!
  the general term of the above sequence is n*n!
  which can also be written as ((n+1)-1)*n!
  =(n+1)*n!-n!
  = (n+1)!-n!
  now according to the above equation
  (2!-1!)+(3!-2!)+(4!-3!).......(2013!-2012!)
  so the answer is
  ans=(2013!-1!)
• 10 years agoHelpfull: Yes(0) No(0)