Pattern Recognition - 180

Find out the next two numbers in the series.

5 ,  9 ,  26 , 103 , _,  _ , .............

Answer

5 ,  9 ,  26 , 103 , _,  _ , .............

9     =(5 * 2) - 1

26   =(9 * 3) - 1

103 =(26*4)-  1

Next two numbers     

(103 * 5) - 1 =514 

(514 * 6) - 1 =3083

5 ,  9 ,  26 , 103 ,  514,  3083, .............

Pattern Recognition - 179

Find out the next two numbers in the series.

12, 440, 15,521,18,_,_,..............

Answer 

12, 440, 15 ,521, 18,_,_,..............

440 = Reverse(12 * 12) -1 =441 -1 

521 = Reverse(15 * 15) -1 =522 -1 

Reverse(18 * 18) -1 =423 -1 = 422

12, 15 , 18 ,..........    Next number  21

12, 440, 15,521,18, 422,21,..............

Pattern Recognition - 178

Find out the next number in the series.

8628, 4134, 2157, _,................

Answer

8628, 4134, 2157, _,................

Tn+1 =Reverse(Tn)/2

4134 = R (8628) /2   = 8268 /2

2157 = R (4134) /2   = 4314/2

Next number  R(2157) = 7512 /2   = 3756

8628, 4134, 2157, 3756,................

Pattern Recognition - 177

Find out the next two numbers in the series.

2644, 37299 , 4409616,_ ,_ ,...............

Answer

      2644,              37299 ,               4409616,    _ ,   _ ,...............

2    2^6  2^2       3 3^6 3 ^2        4    4^6 4^2

Next two numbers      5 5^6  5^2    , 6 6^6 6^2   = > 5 15625 25, 6 46656 36

2644, 37299 , 4409616,   51562525  ,  64665636,...............

Pattern Recognition - 176

Find out the next two numbers in the series.

1,9 , 4 , 16 , 36 , 25 , _ , _ ,...............................

Answer

   1,      9 ,       4 ,     16 ,      36 ,       25 , _ , _ ,...............................

 1^2    3^2     2^2    4^2    6^2      5^2

Next three numbers       7^2 , 9^2 ,8^2      49, 81, 64

1,9 , 4 , 16 , 36 , 25 , 49, 81 ,...............................

Pattern Recognition - 175

Find out the next two numbers in the series.

14 , 39 , 91 , 17 , 69 , _ ,_ ,........

Answer

14 , 39 , 91 , 17 , 69 , _ ,_ ,........

Tn = Reverse form (Tn-1) - 2

39= RF(14) - 2

91= RF(39) - 2

17= RF(91) - 2

Next two numbers   RF(69) -2 = 94    RF(94) -2 = 47  

14 , 39 , 91 , 17 , 69 ,  94 ,47 ,........

Pattern Recognition - 174

Find out the next number in the series.

1 , 4, 729, 16777216 , _ ,.................

Answer

1 , 4, 729, 16777216 , _ ,.................

1              = 1 ^(1 * 0)

4              = 2 ^(2 * 1)

729          = 3 ^(3 * 2)

16777216 = 4 ^(4 * 3)

Next number   5 ^ (5 * 4) = 9.5367432e+13

1 , 4, 729, 16777216 ,  9.5367432e+13 ,.................