Question

What number comes next in this sequence? 25, 32, 27, 36, ?

Answer 1

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 .

Answer 2

Solution -

25, 32, 27, 36...........?

The number at the odd places in this have a difference of 2 between them I.e. 25 + 2 = 27. So, the next number or the 5th number in this series will be 27 + 2 = 29

And if see the number at the even places, there is a difference of 4 between them I.e 32 + 4 = 36. So, the next number in the series will be 36 + 4 = 40.

So, the numbers in the series will be as follows.

25, 32, 27, 36, 29, 40, 31, 44, 33, 48, 35, 52..........