Pattern Recognition - 149

Find out the next two numbers in the series.

1218, 12618 ,1420 , 143420 ,1622 ,16622 ,_ , _ ,.......................

Answer

1218, 12618 ,1420 , 143420 ,1622 ,16622 ,_ , _ ,.......................

1218, 12(18-12)18 ,1420 , 14(14+20)20 ,1622 ,16(22-16)22 ,_ , _ ,.......................

12 , 14 , 16 ,..................................  Next two numbers   18,20

18, 20 , 22 , ..................................  Next two numbers   24,26

Next two numbers in the series   1824  18(18+24)24 

1218, 12618 ,1420 , 143420 ,1622 ,16622 , 1824 , 184224,.......................

Pattern Recognition - 148

Find out the next two numbers in the series.

 1 , 6 , 15 ,  28 , _ , _ , ..........................................

Answer

 1 ,     6 ,       15 ,      28 , _ , _ , ..........................................

 1, 3 , 6 , 10, 15, 21,  28, 36 ,45 ,55,66 ......................

Every other number from triangular series

Next two numbers  45 ,66

 1 ,     6 ,       15 ,      28 ,    45 ,  66 , ..........................................

Pattern Recognition - 147

Find out the next two numbers in the series.

234,   256,   2910,   378,  534,  _,  _,.........

Answer

234,                256,            2910,           378,       534,  _,  _,.........

23  3+1      25  5+1             29  9+1       37 7+1     53  3+1 

23 ,      25 ,      29 ,     37 ,      53 , _  , _ , .........................

      +2       +4        +8      +16

Next two numbers   53 +32 =  85    

                              85 +64  = 149

Next two numbers in the series

85   5+1     149 9+1     =>  856 , 14910

234,   256,   2910,   378,  534,   856  , 14910 ,.........

Pattern Recognition - 146

Find out the next two numbers in the series.

121, 110 , 144, 132 , 169 , 156 ,_ , _ ,.........................

Answer

121,       110 ,   144, 132 ,  169 , 156 ,_ , _ ,.........................

121  110 = 11*11  (11*11 -1)

144  132 = 12*12  (12*12 -1 )

169   156= 13*13  (13*13 -1 )

Next two numbers 14 * 14   (14 * 14 -1)

121, 110 , 144, 132 , 169 , 156 , 196 , 182 ,.........................