in how many different ways 1998 can be written into the sum of two or more consecutive positive even numbers ???
ex- 1998 = 998+1000

op: 5,6,7,8,9

• Ans is 7 ways.
  Using 2 consecutive positive even numbers..
  x+x+2=1998
  x=998
  so 998+1000=1998
  Using 3 consecutive positive even numbers .
  x+x+2+x+4=1998
  x=664
  so 664+666+668=1998.
  Using 6 consecutive positive even numbers .
  x+x+2+x+4+x+6+x+8+x+10=1998
  x=328
  so 328+330+332+334+336+338=1998
  
  similarly using 9 consecutive positive even numbers .
  we get x=214
  using 18 consecutive positive even numbers .
  we get x=94
  using 27 consecutive positive even numbers .
  we get x=48
  using 37 consecutive positive even numbers .
  we get x=18
  so total of 7 different ways.
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