Pattern Recognition - 137

Find out the next two numbers in the series.

517, 2021 ,8025 , 32029 , _ , _ , ......................

Answer

517, 2021 ,8025 , 32029 , _ , _ , ......................

5 ,     20 ,   80 ,   320 , .........  Next two numbers 1280 , 5120

    *4      *4     *4

17 ,  21 ,   25 ,   29 , ........... Next two numbers  33, 37 

    +4    +4     +4

Next two numbers in the series  1280 33 , 512037

517, 2021 ,8025 , 32029 ,128033 , 512037 ,...........................

Pattern Recognition - 136

Find out the next two numbers in the series.
 4 , 27 , 16 , 125 , 36 , 343 , _ , _ , ..................

Answer

    4 ,   27 ,   16 ,   125 ,   36 ,  343 , _ , _ , ..................

2 ^ 2 , 3^3 ,   4^2 ,   5^3 , 6^ 2,  7 ^ 3,_ ,_ ............

Next two numbers  8 ^ 2 , 9 ^ 3    = >  64,  729 

4 , 27 , 16 , 125 , 36 , 343 , 64 , 729 , ..................

Pattern Recognition - 135

Find out the next two numbers in the series.
1121 , 2312 , 1325 , 2714 , 1529 ,_ , _ , ......................

Answer

1121 , 2312 , 1325 , 2714 , 1529 ,_ ,  _ , ......................

21 = (11*2) -1 

23 = (12*2) -1 

25 = (13*2) -1 

27 = (14*2) -1 

29 = (15*2) -1 

Next two numbers   (16*2) - 1   16  =31 16

                                  (17*2) - 1  17  =17  33

1121 , 2312 , 1325 , 2714 , 1529 , 3116 ,  1733 , ......................

Pattern Recognition - 134

Find out the next two numbers in the series.

2 , 3 , 5 , 5 , 7 , 12 , 11 , 13 , 24, _ , _ , .......................

Answer

2 , 3  ,  5 ,  5 , 7 , 12 , 11 , 13 , 24, _ , _ , .......................

2 , 3 , 5 , 7 , 11 , 13 ,_ , _ , ........   Prime number series

5   =2 + 3

12 =5+7

24 =11+13

Next two numbers in the prime number series 17 ,19

Next two numbers in the original series   17 ,19

2 , 3 , 5 , 5 , 7 , 12 , 11 , 13 , 24, 17 , 19 , .......................

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 ,..............