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 ,..........................

Pattern Recognition - 214

Find out the next number in the series.

245 , 2810, 21620, 221240, _ ,..............

Answer

245, 2810, 21620, 221240, _ ,..............

2810   = 2  2 *4  2*5 

21620 = 2  2* 8  2 *1  2*0

221240= 2  2* 1  2 *6  2*2   2*0

Next number   2  2* 2  2 *1  2*2  2*4  2*0  = 2 4 2 4 8 0 

245 , 2810, 21620, 221240, 242480 ,..............

Pattern Recognition - 213

Find out the next number in the series.

23 , 49 , 1681 , _ ,......................

Answer

23 , 49 , 1681 , _ ,......................

4  9 => 2 * 2  , 3 * 3

Next number  16 * 16  , 81 * 81  => 256 , 6561

23 , 49 , 1681 , 2566561  ,......................

There was another excellent answer from someone at office.

1 X 1 = 1 

6 X 6 = 36 

8 X 8 = 64 

1 X 1 = 1 

136,641