Pattern Recognition - 186

Find out the next number in the series.

1 , 4 , 27 , 256  , 3125 , _ , ..........................

Answer

Tn= n^n

T1 = 1^1

T2 = 2^2

T3 = 3^3

T4 = 4^4

T5 = 5^5

Next number 6 ^ 6 = 46656

1 , 4 , 27 , 256  , 3125 , 46656 , ..........................

Pattern Recognition - 185

Find out the next number in the series.

21 , 22 , 24 , 216 , 24096, _ ,...................

Answer

21 , 22 , 24 , 216 , 24096, _ ,...................

21 , 2(2^1) , 2(2^2), 2(2^4) , 2(2^16), _ ,...................

Next number 2 (2^4096)

(2^4096) =Infinity 

Oops! I didn't realize it will get infinity.  

21 , 22 , 24 , 216 , 24096, 2 (2^4096) ,...................

Pattern Recognition - 184

Find out the next number in the  series.

295 , 4187 , 6219 , 83011, _ ,......................

Answer

295 , 4187 , 6219 , 83011, _ ,......................

9   = (2 * 2) + 5

18 = (7 * 2) + 4

21 = (6 * 2) + 9

30 = (11* 2)+ 8

2_5 , 4_7 , 6_9 , 8_11, _ ,......................

Next number  10 _ 13     

Next number in the series   10 * 2 + 13 = 33

295 , 4187 , 6219 , 83011, 103313 ,......................

Pattern Recognition - 183

Find out the next number in the series.

34 , 14 , 54 , 18 , 93, 24 ,98 ,_ ,.................

Answer

34 , 14 , 54 , 18 , 93, 24 ,98 ,_ ,.................

14 = (3 + 4) * 2 

18 = (5 + 4) * 2 

24 = (9 + 3) * 2 

Next number   (9+8)*2 = 34

34 , 14 , 54 , 18 , 93, 24 ,98 ,34 ,.................