find the sum of the even numbers between 99 and 301

• Ans- 20200
  even number between 99 and 301
  
  100,102,104,106.........300
  So n=101
  S=n/2*(first term+last term)
  S=101/2*(100+300)=101*400/2=20200
• 11 years agoHelpfull: Yes(6) No(0)
• 100+102+104+........+298+300
  series is A.P,a=100,d=2,l=300
  l=a+(n-1)d
  or 300=100+(n-1)*2
  or n=101
  Sum=n/2 *(a+l)
  so S=101/2 *(100+300)
  =101*200=20200
• 11 years agoHelpfull: Yes(4) No(0)
• sum of all even no b/w 99-301= 20200
• 11 years agoHelpfull: Yes(1) No(0)
• 100+102+104+........+298+300
  now 300=100+(n-1)*1
  or n=201
  so S=201/2(100+300)
  =201*200=40200
  
• 11 years agoHelpfull: Yes(0) No(6)