Saturday, December 16, 2017

Pattern Recognition - 182

Find out the next two numbers in the series.
3457, 6918 ,13832 , 27668 , _ ,_ ,............


Answer

3457, 6918 ,13832 , 27668 ,  _  , _  ,............

6918    = (3457   +2)  * 2
13832  = (6918   -2)   * 2
27668  = (13832 +2)  * 2

Next two numbers 
(27668 -2 )  * 2 = 55332
(55332+2)  * 2  = 110668 


3457, 6918 ,13832 , 27668 ,  55332 110668   ,............

Saturday, December 9, 2017

Pattern Recognition - 181

Find out the next number in the series.
1257 , 10434 , 2611 , 3242 , 3325 , 4670 , 4245 , _ ,.................



Answer

1257 , 10434 , 2611 , 3242 , 3325 , 4670 , 4245 , _ ,.................

10434  = 5217 * 2 
 3242   = 1621 * 2 
 4670   2335 * 2 

Next number   4245 * 2 = 8490


1257 , 10434 , 2611 , 3242 , 3325 , 4670 , 4245 , 8490,.................

Saturday, December 2, 2017

Pattern Recognition - 180

Find out the next two numbers in the series.
5 ,  9 ,  26 , 103 , _,  _ , .............


Answer

5 ,  9 ,  26 , 103 , _,  _ , .............
9     =(5 * 2) - 1
26   =(9 * 3) - 1
103 =(26*4)-  1

Next two numbers     
(103 * 5) - 1 =514 
(514 * 6) - 1 =3083


5 ,  9 ,  26 , 103 ,  514,  3083, .............

Saturday, November 25, 2017

Pattern Recognition - 179

Find out the next two numbers in the series.
12, 440, 15,521,18,_,_,..............


Answer 

1244015 ,52118,_,_,..............

440 = Reverse(12 * 12-1 =441 -1 
521 = Reverse(15 * 15) -1 =522 -1 

Reverse(18 * 18) -1 =423 -1 = 422
12, 15 , 18 ,..........    Next number  21


12, 440, 15,521,18, 422,21,..............

Saturday, November 18, 2017

Pattern Recognition - 178

Find out the next number in the series.
8628, 4134, 2157, _,................


Answer

8628, 4134, 2157, _,................

Tn+1 =Reverse(Tn)/2

4134 = R (8628) /2   = 8268 /2
2157 = R (4134) /2   = 4314/2

Next number  R(2157) = 7512 /2   3756

8628, 4134, 2157, 3756,................


Saturday, November 11, 2017

Pattern Recognition - 177

Find out the next two numbers in the series.
2644, 37299 , 4409616,_ ,_ ,...............


Answer

      2644,              37299 ,               4409616,    _ ,   _ ,...............
2    2^6  2^2       3 3^6 3 ^2        4    4^6 4^2

Next two numbers      5 5^6  5^2    , 6 6^6 6^2   = > 5 15625 25, 6 46656 36


2644, 37299 , 4409616,   51562525  ,  64665636,...............


Saturday, November 4, 2017

Pattern Recognition - 176

Find out the next two numbers in the series.
1,9 , 4 , 16 , 36 , 25 , _ , _ ,...............................

Answer

   1,      9 ,       4 ,     16 ,      36 ,       25 , _ , _ ,...............................
 1^2    3^2     2^2    4^2    6^2      5^2


Next three numbers       7^2 , 9^2 ,8^2      49, 81, 64

1,9 , 4 , 16 , 36 , 25 , 49, 81 ,...............................


Saturday, October 28, 2017

Pattern Recognition - 175


Find out the next two numbers in the series.
14 , 39 , 91 , 17 , 69 , _ ,_ ,........


Answer

14 , 39 , 91 , 17 , 69 , _ ,_ ,........

Tn = Reverse form (Tn-1) - 2
39= RF(14) - 2
91= RF(39) - 2
17= RF(91) - 2

Next two numbers   RF(69) -2 = 94    RF(94) -2 = 47  

14 , 39 , 91 , 17 , 69 ,  94 ,47 ,........

Saturday, October 21, 2017

Pattern Recognition - 174

Find out the next number in the series.
1 , 4, 729, 16777216 , _ ,.................


Answer

1 , 4, 729, 16777216 , _ ,.................
1              = 1 ^(1 * 0)
4              = 2 ^(2 * 1)
729          = 3 ^(3 * 2)
16777216 = 4 ^(4 * 3)

Next number   5 (5 * 4) = 9.5367432e+13


1 , 4, 729, 16777216 ,  9.5367432e+13 ,.................

Saturday, October 14, 2017

Pattern Recognition - 173

Find out the next two numbers in the series.
1,  16 ,   243,   4096 ,  78125,  _,  _,...............


Answer

1,          16 ,         243,      4096 ,  78125,  _,  _,...............
 1 ^   2 ^       3 ^ 5     4^      5^7 

Next two numbers  6 ^ 8 , 7 ^  = > 1679616 , 40353607


1,  16 ,   243,   4096 ,  78125, 1679616 , 40353607  ,...............

Saturday, October 7, 2017

Pattern Recognition - 172

Find out the next two numbers in the series.
1234 , 2684 , 51362, 1136402 ,_ ,_ ,.........



Answer

1234 , 2684 , 51682, 1136402,_ ,_ ,.........

12 34 , 2684   12 * 2 = 24   34 * 2 =68
26 8451682  26 * 2 = 52   84 * 2 =168
51 682 , 1136402   51 * 2 = 102  682*2=1364
1136402, 21280426  113 * 2 =226 6402 * 2=12804
 21280426 , 4285256   2128 * 2 = 4256  0426 * 2 = 852

Next two numbers    21280426  , 4285256 


1234 , 2684 , 51682, 1136402, 21280426  ,4285256  ,.........

Saturday, September 30, 2017

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,.......................

Saturday, September 23, 2017

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 ,......................