coefficient of x in the expansion of (1+x)(1+2x)(1+3x)(1+4x).......(1+100x) is ?

• coefficient of x in the expansion of (1+x)(1+2x)(1+3x)(1+4x).......(1+100x) is 5050.
  (1+2+3+......100)=5050
• 12 years agoHelpfull: Yes(5) No(1)
• its the sum of numbers from 1 to 100
  i.e., sum=n/2[2a+(n-1)d]=100/2[2+99]
  =50*101=5050
  
• 12 years agoHelpfull: Yes(2) No(1)
• coefficient of x is sum of roots taken one at time :1+1/2+1/3+1/4+.......+1/100
  
• 12 years agoHelpfull: Yes(0) No(5)