Pattern Recognition - 162

Find out the next two numbers in the series.
359,  4713,  61121, 91733, _ , _ ,...........

Answer

3  5  9     ====> 3    3*2 -1  =5      5*2 -1 =9

4 7 13     ====>4     4*2 -1  =7      7*2 -1  =13

6 11 21       =====> 6     6*2 -1   =11    11*2 -1 =21

9  17 33  ====> 9    9*2 -1    =17   17*2 -1  =33

3 ,       4 ,      6 ,    9 ,...................... Next two numbers   9+4 =13    13 +5 =18

    +1     +2       +3

Next two numbers in the series

13  13*2 -1    25*2-1  ==> 132549

18  18*2 -1    35*2-1  ==> 183569

359,  4713,  61121, 91733, 132549 , 183569 ,...........

There is another way of finding the same answer proposed by some one at office.    

359, 4713, 61121, 91733, 132549, 183569

3 4 6 9 | 13 18

5 7 11 17 | 25 35

9 13 21 33 | 49 69

Pattern Recognition - 161

Find out the next two numbers in the series.
4, 3, 8, 9, 6, 27, 16, 10, _ ,_ ,.........

Answer

4, 3, 8,    9, 6, 27,    16, 10, _ ,_ ,.........

4 , 9 , 16 ,.................    

Square number series starting from 4      Next two numbers    25, 36

3 , 6 , 10,.................    

Triangular number series starting from 3  Next two numbers    15,21

8,27 ,......................      

Cubic number series starting from 8         Next two numbers    64,125

Next three numbers in the series  64, 25 , 15

4, 3, 8, 9, 6, 27, 16, 10,   64 ,25 ,.........

Pattern Recognition - 160

Find out the next two numbers in the series.

134, 2114, 31913, 42713, _ , _ ,......................

Answer

134, 2114, 31913, 42713, _ , _ ,......................

1  3   4  =1  (1*8)-5   1+3  

2  11   4  = 2  (2*8)-5  2+1+1  

3  19  13 = 3  (3*8)-5   3+1+9  

4  27  13  =4  (4*8)-5   4+2 +7

Next two numbers

5  (5*8)-5   4+2 +7  = 5 35  5+3+5  => 53513

6  (6*8)-5   4+2 +7  =6  43   6+4+3  => 64313

134, 2114, 31913, 42713,  53513 , 64313,......................

Pattern Recognition - 159

Find out the next two numbers in the series.

12 , 143 , 132 , 14 , 155 , 142 , 15 ,224 , _,_ ......

Answer

12 , 143 , 132 ,         14 , 155 , 142 ,       15 ,224 , _,_ ......

12 , 143 , 132   ----->   12    (12 * 12) - 1    12* (12-1)

14 , 155 , 142   ------>  14   (14 * 14) -1      14 *(14-1)

15 ,224 , _       ------>   15   (15  *15) -1      15* (15-1)

12 ,    14 ,    15           17

     +2     +1       +2     

12 , 143 , 132 , 14 , 155 , 142 , 15 ,224 , 210, 17,......

Pattern Recognition - 158

Find out the next two numbers in the series.
213 , 7 , 343 , 13 , 773 ,28,1503 , _ , _ ,...............

Answer

213 , 7 , 343 , 13 , 773 ,28,1503 , _ , _ ,...............

213 ,  , 343 ,  , 773 ,   ,1503 , _ , _ ,...............

343  = (21 +13)  3

773  = (34+43)   3

1503= (77+73)   3

Next number

(150+03)   3 = 153 3

213 , 7

7 = (2*3) +1

343 , 13

13 = (3*3) +4

 773 ,28

28 = (7*3) +7

Next number 

(15*3 +0)= 45

213 , 7 , 343 , 13 , 773 ,28,1503 ,45 ,1533 ,...............