Pattern Recognition - 141

Find out the next two numbers in the series.

1 , 2 , 81 , 64 , 15625 , 7776, _ , _ , ..............

Answer

    1     ,     2      ,       81   ,     64 ,       15625 ,    7776, _ , _ , ..............

(1^2       2^1)        (3^ 4      4^3  )    (5^6        6^5)

Next two numbers

( 7 ^ 8   8^7 )  => 5764801 , 2097152

1 , 2 , 81 , 64 , 15625 , 7776,5764801 , 2097152,...................

Pattern Recognition - 140

Find out the next two numbers in the series.

579, 598 , 615 , 628 , 639, _ , _ , ............

Answer

579,     598 ,     615 ,      628 ,      639, _ , _ , ............

       +19      +17       +13        +11

 19 ,17 ,13 ,11,.................. Prime number pattern  

Next two numbers 7 ,5

Next two numbers in the original series  639 + 7 = 646  646 +5 =651

579, 598 ,  615 ,  628 , 639,  646 ,651  , ............

Pattern Recognition - 139

Find out the next two numbers in the series.

1 , 2 , 2 , 3 , 3 , 5 , 4 , 7 ,_,_ ,............

Answer

1 , 2  ,  2 , 3 , 3 , 5 , 4 , 7 ,_,_ ,............

1st prime number - 2

2 ---------------> 3

3----------------> 5

4----------------> 7

Next two numbers  

5 ---------------> 11

6 ---------------> 13

1 , 2  ,  2 , 3 , 3 , 5 , 4 , 7 , 5, 11,............

1 , 2  ,  2 , 3 , 3 , 5 , 4 , 7 ,5, 11 ,............

Pattern Recognition - 138

Find out the next two numbers in the series.

489, 491, 497, 515,569 , _ , _ , ....................

Answer

489,      491,       497,       515,     569  , _  , _  , ....................

        +2          +6         +18        +54

                  *3         *3          *3

Next two numbers   569 + (54*3)      = 731

                              731  + (54 *3 *3)= 1217

489,  491,  497, 515,569 , 731  , 1217, ....................