Question

3,11,37,149,?
what is the logic behind this series?​

Answer 1

Answer:

Everyone here says 47 ,

But I’ve got an alternate interesting answer ‘ 38 ‘ . Guess how ?

13 => 3 + 1 = 4

17 => 7 + 1 = 8

25 => 2 + 5 = 7

32 => 3 + 2 = 5

37 => 3 + 7 = 10 => 1 + 0 = 1

Series formed -> 4 ,8 ,7 ,5 ,1

And now cones the main part ;

Observe the powers of ‘ 2 ‘ .

2^2 = 4 => 4

2^3 = 8 => 8

2^4 = 16 => 6+1 = 7

2^5 = 32 => 3 + 2 = 5

2^6 = 64 => 6 + 4 = 10 => 1

Finally ; 2^7 = 128 => 1+2+8 = 11 => 2

Series formed -> 4 ,8 ,7 ,5 ,1 ,2

So now , first number after 37 which gives the sum of it’s digits = 2 is 38

Though 47 seems more precise , 38 is undeniable by this logic .

Thanks .