What should be the next number in the following series? 3, 6, 4, 7, 5, 8,…?

Solution:

Given, the series is 3, 6, 4, 7, 5, 8,…

We have to find the next number in the series.

The sequence is actually two sequences wrapped up, it can be split into the two sequences.

The first, third and fifth numbers are part of the sequence, say X.

Sequence X goes as follows: 3, 4, 5,......

The second, fourth and sixth numbers are part of sequence Y.

Sequence Y goes as follows: 6, 7, 8,....

Since, the next number is the seventh number, it is a part of sequence X.

As Sequence X is going up in ones, the seventh number is 6.

The next number in sequence Y will be 9.

Therefore, the next number in the given series is 6.

What should be the next number in the following series? 3, 6, 4, 7, 5, 8,…?

Summary:

The next number in the following series 3, 6, 4, 7, 5, 8,… is 6.