Pattern Recognition - 121

Find out the next two numbers in the series.
255 , 321 , 353 , 417 , _ ,_ ,..................


Answer

255 ,     321 ,     353 ,      417 , _ ,_ ,..................
      +66      +32        +64

55 +11 =66
21 +11 =32
53 +11 =64

Next two numbers   17 +11 =28      417 + 28 = 445
                            45 +11 =56      445 + 56 = 501

255 , 321 , 353 , 417 , 445 ,501 ,..................

Pattern Recognition - 120

Find out the next two numbers in the series.
294 , 3196 , 4338 , 55110 ,_ ,_ ,......

Answer

294 , 3196 , 4338 , 55110 ,_ ,_ ,......

Next two numbers   6---12      7---14

294 , 3196 , 4338 , 55110 , _ , _ ,......
9   = (2 *4) +1
19 = (3 * 6) +1
33 = (4 *8)  +1
51 = (5 *10) +1

Next two numbers   (6*12) +1 =73    67312
                            (7*14)+1 = 99    79914

294 , 3196 , 4338 , 55110 , 67312 , 79914,......

Pattern Recognition - 119

Find out the next two numbers in the series.
5 , 13 , 17 ,19 , 21 , 25, _ ,_ ,............................

Answer
5 ,     13 ,       17 ,    19   , 21 ,   25, _ ,_ ,............................
    +8       +4       +2     +2     +4

  +8       +4       +2     +2     +4  Next two numbers +8, +4

Next two numbers in the series  25 + 8 =33    33 +4 =37

5 ,  13 ,  17 ,  19  , 21 ,   25,  33 , 37 ,............................

Pattern Recognition - 118

Find out the next two numbers in the series.
25625 , 525 , 16256 , 416 ,981 , _ , _ , ....................

Answer

Tn= n^2 n^4 , n^1n^2
T5= (5*5)(5 *5*5 *5)   5(5 *5) = 25625  , 525
T4= (4*4)(4*4 *4 *4)   4(4 *4) = 16256, 16
T3= (3 *3)(3*3 *3 *3)   3(3 *3) = 981, 39
T2 =(2*2) (2 * 2 *2 *2) 2(2*2)  =416 , 24

Next two numbers 39 , 416

25625 , 525 , 16256 , 416 ,981 , 39, 416 , ....................

25625 , 525 , 16256 , 416 ,981 , 39, 416 , ....................