Pattern Recognition - 133

Find out the next two numbers in the series. 

1, 2 , 10 , 1010, _ ,_,........................

Answer

Tn+1 = Tn + (Tn ^ 3)

2 =  1 + (1 ^ 3 )

10= 2 +  (2 ^ 3 )

1010=10 +(10 ^ 3)

Next two numbers  1010 + (1010 ^ 3) =1030302010

                                 1030302010 + (1030302010 ^ 3) = 1093688489093570254240903010

1, 2 , 10 , 1010, 1030302010 ,1093688489093570254240903010,........................

Pattern Recognition - 132

Find out the next two numbers in the series.
5 , 6 , 12 , 11 , 12 , 24,23, _ ,_ ,................


Answer
5 ,     6 ,   12 ,   11 ,   12 ,    24,    23, _ ,_ ,................
    +1    *2     -1     +1     *2     -1

Next two numbers
23 +1 = 24  
24 *2 = 48

5 , 6 , 12 , 11 , 12 , 24,23, 24,48 ,................

Pattern Recognition - 131

Find out the next two numbers in the series.
1247 , 1116 , 2229, 3746,_ , _ ,..............


Answer

1247 ,    1116 ,   2229,  3746,_ , _ ,..............

1 ,  2 , 4 ,  7 ,  11   ,16,    22,   29,    37,   46 , _ , _ ,.............
  +1  +2 +3  +4   +5    +6    +7    +8    +9

Next four numbers  46 +10 =56
                            56+11 =67
                            67+12 =79
                            79+13 =92

Next two numbers in the original series  5667 , 7992

1247 , 1116 , 2229, 3746, 5667 , 7992 ,..............