Question

What Is the pattern of this series. .8,9,8,13,16,22,48,38

Answer 1

This series is the combination of two series .
Let's try to understand ,

Given, 8 , 9 , 8 , 13 , 16 , 22 , 48 , 38
Take 1st, 3rd , 5th , 7th places number
8 , 8 , 16, 48
what is the relation between these numbers
8 × 1 = 8
8 × 2 = 16
16 × 3 = 48
Means 9th place should be 48 × 4 = 192
11th palce should be = 192 × 5 and so on

Now, take 2nd , 4th , 6th and 8th places numbers
e.g., 9, 13, 22, 38
what's the relation between thses numbers ?
9 + 2² = 13
13 + 3² = 22
22 + 4² = 38
so, 10th place = 38 + 5² = 53
12th palce = 53 + 6² and so on

Now , I hope you understand what is the pattern and logic of this series.