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

Pattern Recognition - 117

If      1  = 2
        2  = 10
        3  = 30
        4  = 68
        5  =  ?

(Taken from internet)

Answer

Tn = (n*n *n) +n
T1 = (1*1 *1) +1 = 2
T2 = (2* 2 *2) +2 =10
T3 = (3* 3* 3) +3 =30
T4 = (4* 4 *4) +4 =68
T5 = (5* 5* 5) +5 =130

5= 130

Pattern Recognition - 116

Find out the next two numbers in the series.
253 , 351 , 152 , 250 , 51,_ , _ ,.................

Answer

Tn-1 = Reverse form(Tn)  - 1
351 = Reverse(253) -1
152 = Reverse(351) -1
250 = Reverse(152) -1
51  = Reverse(250) -1

Next two numbers  
Reverse(51) -1 =14 
Reverse(14) -1 =40

253 , 351 , 152 , 250 , 51, 14 , 40,.................

Pattern Recognition - 115

Find out the next two numbers in the series.
6 , 48 , 342 , 2400 , _ , _ , ...................................

Answer

Tn = (7 ^ n) -1  
T1=7^1  -1  =6 
T2=7^2  -1  =48 
T3=7^3  -1  =342
T4=7^4  -1  =2400
T5=7^5  -1  =16806 
T6=7^6  -1  =117648

6 , 48 , 342 , 2400 , 16806 , 117648 , ...................................