Pattern Recognition -94

Find out the next two numbers in the series.
57, 1119, 3567, 131259, _ ,_,..........

Answer

57, 1119, 3567, 131259, _ ,_,..........

5,     7 ,    11 ,   19 ,    35 ,     67 ,    131 ,   259,...........
  +2    +4     +8     +16    +32     +64    +128

Tn= Tn-1 +(2 ^(n-1)) where n > 1

Next four numbers

259 +  256    =  515
515 + 512     = 1027
1027 + 1024 = 2051
2051 + 2048 = 4099

Next two numbers in the original series
5151027 , 20514099

57, 1119, 3567, 131259, 5151027 , 20514099, ..........