What will come in the number series? 1, 3, 8, 19,42, 89, (_)

Question

1, 3, 8, 19,42, 89, (_)

Answer 1

1----3----8----19----42----89 ? ------- Series
---2----5----11----23----47 -------- Difference between the terms

In this series the difference between the 2nd and 3rd terms
( 2nd difference ) is
2nd term + 1st difference - 0th difference
ie., = 3 + 2 + NA (0) = 5.

Now similarly 3rd difference is
3rd term + 2nd difference - ( all previous differences )
= 8 + 5 - 2 = 11.

Finally by this analogy we have the final difference
= 89 + 47 - ( 2 + 5 + 11 + 23). = 95.

So the final term will be 89 + 95 = 184.

Answer 2

This problem can be solved by using a simple matrix/diagram/pattern giving 184 as the answer:

Answer 3

It follows the logic below:
1 x 2 = 2 + 1 = 3
3 x 2 = 6 + 2 = 8
8 x 2 = 16+3 = 19
19 x 2= 38+4 = 42
42 x2 = 84+5 = 89
Then,
89 x 2 = 178 + 6 = 184