Pattern Recognition - 107

Find out the next two numbers in the series.

4, 6 , 10,  14,  22,  26 , 38, 46 ,_ ,_ ,......................

Answer

Tn = (2 * m) where m - nth prime number
Prime number series
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,..........

Oops, There was a mistake. 34 (17 * 2)was missed out in the original series(Question).

T1= 2 * 2 =4
T2 =2 * 3 =6
T3= 2 * 5 =10

T10 =2 *29 =58
T11=2 *31  = 62

4, 6 , 10,  14,  22,  26,34 , 38, 46 ,58 ,62 ,......................

Pattern Recognition - 106

Find out the next two numbers in the series.
3, 9 , 33 ,129, 513, _ , _ ,...................

Answer

Tn = (2 ^ m)+ 1 where m - nth odd number (1,3 , 5 ,7,...........)
T1 = (2 ^ 1) +1 = 3
T2 = (2 ^ 3) +1 = 9
T3 = (2 ^ 5) +1 = 33
T4 = (2 ^ 7) +1 = 129
T5 = (2 ^ 9) +1 = 513
T6 = (2 ^ 11) +1 = 2049
T7 = (2 ^ 13) +1 = 8193

3, 9 , 33 ,129, 513, 2049 , 8193 ,...................

Pattern Recognition - 105

Find out the next two numbers in the series.
3515 , 4624 , 7963, 81080, _ , _ , .........................

Answer

3 5  (3 * 5) , 4 6 (4 *6) , 7 9 (7*9) ,8 10 (8 *10) ,_ ,_ ,....................

3  5 , 4  6 , 7  9 , 8  10 , _ ,_ ,..................   Next two numbers 11  13 , 12 14

Next two numbers in the series
11  13 (11 * 13)    = > 1113143
12  14 (12 * 14)    =>  1214168

3515 , 4624 , 7963, 81080,  1113143 , 1214168, .........................

Pattern Recognition - 104

Find out the next two numbers in the series.
12,44, 140, 428, _,_,.........


Answer
 
Tn+1 = (Tn *3) +8

44=(12 * 3) +8
140=(44* 3)  +8
428=(140*3)+8

Next two numbers  (428 *3) + 8 = 1284 + 8 =1292
                           (1292*3) + 8 = 3876 +8  =3884

12,44, 140, 428, 1292, 3884,.........

Pattern Recognition - 103

Find out the next two numbers in the series.
88, 1661, 3223 , 6446 , _ , _, .............................


Answer

88, 1661, 3223 , 6446 , _ , _, .............................

For each and every number in the series , the second half is the reverse form of first half.
8 ---> 8
16--->61
32--->23

First half of the numbers in the series 8 ,     16,    32 ,    64 , _ ,_, ...................
                                                            *2      *2       *2
Next two numbers 128, 256
Next two numbers in the series  128821 , 256652

88, 1661, 3223 , 6446 , 128821 , 256652, .............................

Pattern Recognition - 102

Find out the next two numbers in the series.
5 , 52 , 6, 63 , 7 ,94 , 8 ,46 , _ , _ ,.........

Answer

5 , 52 , 6, 63 , 7 ,94 , 8 ,46 , _ , _ ,.........

52 = Reverse(5 * 5)
63= Reverse(6 * 6)
94 = Reverse(7 * 7)
46 = Reverse(8 * 8)

Next two numbers   9, Reverse(9*9) = 9 , 18

5 , 52 , 6, 63 , 7 ,94 , 8 ,46 , 9 , 18 ,.........

Never give up, for that is just the place and time that the tide will turn. Harriet Beecher Stowe
Read more at: http://www.brainyquote.com/quotes/topics/topic_motivational2.html

Pattern Recognition - 101

Find out the next two numbers in the series.
134, 1410 , 146 , 142 , 158 , 154 , _ , _ , ............


Answer

134, 1410 , 146 , 142 , 158 , 154 , _,_ ,..........

1 ---> (10-1)    = 9
2 ---> (10-2)    = 8
3 ---> (10-3)    = 7
4 ---> (10-4)    = 6
5 ---> (10-5)    = 5
6 ---> (10-6)    = 4
7 ---> (10-7)    = 3
8 ---> (10-8)    = 2
9 ---> (10-9)    = 1
10 ---> (10-10) =0

134,    1410 ,  146 ,   142 ,   158 ,     154 , _,_ ,..........

136 ,   140 ,    144 ,    148 ,    152 ,    156 , _,_ ,.......................
       +4       +4        +4        +4       +4

Next two numbers 160 ----> 1610
                           164 ----> 166

134, 1410 , 146 , 142 , 158 , 154, 1610 ,166,.......................