Question

what is the next term of this series? 8,9,8,13,16,22,48,38

Answer 1

Series is given , 8 , 9, 8 , 13, 16, 22, 48, 38 , ?
this series is combination of two different series ,
see first series is 1st , 3rd ,5th , 7th , ? {9th place }
8, 8 , 16, 48 , ?
8 × 1 = 8
8 × 2 = 16
16 × 3 = 48
48 × 4 = 192
Hence, 9th place is 192

And 2nd series is 2nd , 4th , 6th , 8th
9, 13, 22, 38,
9 + 2² = 13
13 + 3² = 22
22 + 4² = 38
38 + 5² = 63
.............
Hence, 10th place is 63

So, series is in such a way ,
8 , 9 , 8 , 13, 16, 22, 48, 38, 192 .


Hence, next term is 192
Answer is 192

Answer 2

Given:

8 , 9, 8 , 13, 16, 22, 48, 38,.. is the series.

To find:

The 9th term.

Solution:

The series can be divided into two parts.

The first part consists of the odd places in the series and the second part consists of the even places in the series.

The two parts have two different series.

As 9th term is in the odd place in the series.

Let us consider the first series,

That is, Terms at odd places.

8, 8 , 16, 48 , 9th term?

Concept:

8 × 1 = 8 (1st odd place)

8 × 2 = 16 (2nd odd place)

16 × 3 = 48 (3rd odd place)

48 × 4 = 192 (4th odd place)

Hence, the 9th term is 192.

8 , 9 , 8 , 13, 16, 22, 48, 38, 192,... is the series.