Pattern Recognition - 221

Find out the next number in the series.

45, 400, 53 , 225 , 75, 1225 ,86 , _ ,....................

Answer

45,  400,       53 ,  225 ,      75, 1225 ,     86 , _ ,....................

(4* 5)^2       (5*3)^2        (7*5) ^ 2       

Next number   (8 *6 ) ^ 2 = 2304

45, 400, 53 , 225 , 75, 1225 ,86 , 2304 ,....................

Pattern Recognition - 220

Find out the next number in the series.

1 , 2 , 7 , 344, _ ,.........


Answer

1 ,                   2 ,              7 ,             344,   _ ,.........

    (1^3) +1         (2^3) - 1       (7^3) +1

Next number    (344^3) -1 =  40707583

1 , 2 , 7 , 344, 40707583  ,.........

Pattern Recognition - 219

Find out the next number in the series.

826 , 11612 , 15224 , _ ,..........

Answer

826 ,   11612 ,   15224 , _ ,..........   

16 = 8 * 2

1   = 2 - 1

12 = 6 * 2

11612 , 15224

2   = 1 * 2

15 = 16 - 1

24 = 12 * 2

Next number  

15  * 2  = 30

2  - 1    = 1

24 * 2   = 48

13048

826 , 11612 , 15224 , 13048 ,..........

Pattern Recognition - 218

Find out the next number in the series.

 2, 12 , 432, _,.........................

Answer

2,                  12 ,                    432, _,.........................

    (2^ 2 )* 3          (12^2) * 3

Next Number   (432 ^ 2) * 3  = 559872

 2, 12 , 432,  559872 ,.........................

There was another brilliant answer

2*6 = 12

12 * (6 * 6) = 432

432 * (6 * 6 * 6) = 93312

 

93312 * (6 * 6 * 6 * 6) = 120932352

2, 12 , 432,  93312 ,.........................

Pattern Recognition - 217

Find out the next number in the series.

5 , 50 , 6 , 144 , 8, 128 , 10,_,.........

Answer

5 ,  50 ,      6 , 144 ,     8, 128 ,    10,_,.........

50 = (5 ^ 2) * 2

144= (6 * 2) ^ 2

128= (8 ^ 2) * 2

Next number (10 * 2)^ 2 = 400 

5 , 50 , 6 , 144 , 8, 128 , 10, 400 ,.........

Pattern Recognition - 216

Find out the next number in the series.

34 , 3412 , 42,426 , 53 , 5515,_ ,.........

Answer

34 ,  3412 ,  42, 426 ,  53 , 5515,_ ,.........

3 * 4 = 12

4 + 2 = 6

5 * 3 = 15   

There is a mistake in the question. It should be 53 , 5315

34 ,       42 ,       53

       +8        +11       +14  

Next number 53 +14 =67

34 , 3412 , 42,426 , 53 , 5315, 67 ,.........

Pattern Recognition - 215

Find out the next number in the series.

2, 36 ,11664, _ ,..........................

Answer

2,  36  , 11664, _ ,..........................

36      = (2 * 3 )  ^ 2

11664 = (36 * 3) ^ 2

Next number   (11664 * 3) ^ 2   =  1224440064

2, 36 ,11664,  1224440064 ,..........................