the function {A(n)} is defined as A(n+1)=A(n)+2n & A(1)=2.what is the value of A(100)?

• A(1)= 2
  A(2)=4
  A(3)=8
  their c.d is in a.p 2,4,6,8....
  find the sum of c.d using formula for sum of a.p.. foe n=99... u will get the sum as 9900..
  add this in A(1)=2
  u will get Ans= 9900+2= 9902
• 10 years agoHelpfull: Yes(5) No(0)
• a(1)=2
  a(2)=a(1)+2
  a(3)=a(1)+2+4
  .....
  a(100)=a(1)+2+4+.....99th term
  sn=99/2[4+98*2]=9900
  so a(1)+9900
  2+9900=9902 ans... confirmed
• 10 years agoHelpfull: Yes(4) No(0)
• say n=1
  a(1+1)=a(1)+2->2+2->4,a(2)=4
  now say n=2,
  a(2+1)=a(2)+2=4+2=6,a(3)=6
  n=3,a(3+1)=a(3)+2=6+2=8,a(4)=8
  notile that for every function the values are being repeated,
  similarly for n=100
  a(100)=200
  a(100)=
  
• 10 years agoHelpfull: Yes(2) No(5)
• can i know abt 6
  
• 10 years agoHelpfull: Yes(1) No(0)
• take the formula-A(n)=(N-1)*N+2
  A(100)=(100-1)*100+2=9902 simply,,,,,,
• 9 years agoHelpfull: Yes(1) No(0)