Pattern Recognition - 171

Find out the next two numbers in the series.

23, 28 , 35 , 26, 15, 28,  _  ,_,.......................

Answer

23,     28 ,    35 ,    26,      15,    28,   _  , _   ,.......................

     +5      +7     -9       -11     +13

Next two numbers   28 + 15 = 43

                             43  -17  = 26

23, 28 , 35 , 26, 15, 28,  43  ,26,.......................

Pattern Recognition - 170

Find out the next two numbers in the series.

2 , 3 , 9 , 15 , 33 ,_ ,_ ,......................

Answer

2 ,           3 ,         9 ,             15 ,         33 ,       _ ,_ ,......................

2^ 1,   2^2 -1 ,   2^3 +1 ,   2^4 -1  ,   2^5 +1

Next two numbers    2^6 -1   ,  2^7 +1

2 , 3 , 9 , 15 , 33 ,63 ,129 ,......................

Pattern Recognition - 169

Find out the next number in the series.

1,7,50 ,8, 5,39,11,6,157,13,10,69,14,12,_,................

Answer 

1, 7, 50 , 8,  5 , 39, 11, 6, 157, 13, 10, 69, 14, 12,_,................

50   =  1 * 1    +    7 * 7

39   =  8 * 8     -    5 * 5

157 =  11 * 11 +   6 * 6

69   =  13 * 13  -   10 * 10

Next number  14 * 14  + 12 * 12 = 340

1,7,50 ,8, 5,39,11,6,157,13,10,69,14,12,340,................

Pattern Recognition - 168

Find out the next two numbers in the series.

1 ,2 ,2 ,  3 , 4 , 12, 6 , 6 ,36 ,10 , 8,_ ,_

Answer

1 , 2 , 2  ,  3 ,  4 ,  12,  6 ,  6 , 36 , 10 , 8, _  ,_

1 , 3 , 6 , 10 , _ , _ , .............Triangular number series ; Next two numbers  15 ,21

2 , 4 , 6 , 8 , _ , _ ................ Even number series ; Next two numbers   10,12

2   = 1 * 2

12 = 3 * 4

36 = 6 * 6

Next two numbers   10 * 8 = 80  ,  15

1 ,2 ,2 ,  3 , 4 , 12, 6 , 6 ,36 ,10 , 8, 80 ,15, .......................

Pattern Recognition - 167

Find out the next number in the series.

1375  , 55 , 2786 , 102 , 3435 , 50 , 4265 , _ ,.........................

Answer

1375  , 55 , 2786 , 102 , 3435 , 50 , 4265 , _ ,.........................

55  =  (1 + 3 + 7 ) * 5  

102=  (2 + 7 + 8 ) * 6  

50  =  (3 + 4 + 3 ) * 5

Next number =  (4 + 2 + 6) * 5   = 60

1375  , 55 , 2786 , 102 , 3435 , 50 , 4265 , 60 ,.........................