Series and Sequences

Fast trick to solve Series & sequences

What should come in the place of Question marks (?) in the following series?

1) 6 , 7 , 11 , 20 , 36 , ? , 97

1 term = 6

2 term = 6 + 12 = 7

3 term = 7 + 22 = 11

4 term = 11 + 32 = 20

5 term = 20 + 42 = 36

6 term = 36 + 52 = 61

7 term = 61 + 62 = 97

? = 61


1 / 18 , 1 / 9 , 1 / 6 , 4 / 18 , ? ,1 / 3 ,

lets take the LCM of dinominator first :

1 , 2 , 3 , 4 , 5 , 6 , / 18

So ? = 5 / 18