Question

41,42,41,45,37,46,_​

Answer 1

Answer:

" The missing number is 19. "

Solution:

Let us look into an interesting algebraic operational fact on the given numbers first. The first number is 41, the second number is 42; so 41 increases. The second number is 42, the third number is 41; so 42 decreases. We can observe that the sequence follows decreasing-increasing in terms respectively. So we find the differences and try to look for what reasoning is working there.

42 - 41 = 1 = 1²

41 - 42 = - 1 = (- 1)³

45 - 41 = 4 = 2²

37 - 45 = - 8 = (- 2)³

46 - 37 = 9 = 3²

Here we see that the differences maintain a sequence

1², (- 1),³, 2², (- 2)³, 3², (- 3)³, ...

In order to find the missing term, we add (- 3)³ to the previous term and thus the missing number is

= 46 + (- 3)³ = 46 - 27 = 19.

Answer 2

Answer:

Attachment!!!!!!!!!!