Question

5 , 8 , 6 , 9 , 7 , 10 _______

Answer 1

Answer:

5 ,8 ,6 ,9 ,7 , 10 next up is 8

Answer 2

Answer:

The next number in series is 8.

The series will be:

5 , 8 , 6 , 9 , 7 , 10, 8, 11, 9, 12, 10, 13 .....

Step-by-step explanation:

Provided that:

The given series is 5 , 8 , 6 , 9 , 7 , 10, ..

Here in this series we can see that that the series is not monotonic. It is increasing and decreasing both in order.

If we calculate the the intervals between the numbers in order we will get:

5 - 8 : +3

8 - 6 : -2

6 - 9 : +3

9 - 7 : -2

7 - 10 : +3

10 - ?(x) : ?(y)

By this observation we can see that the intervals are +3, -2, +3, -2 ... respectively.

So we can easily say that the next interval is :

(y) = -2

So the next number in this series is given by :

$x - 10 = y \\ or \: x - 10 = - 2 \\ or \: x = 10 - 2 \\ = 8$

Hence the next number in series is:

x = 8 .

The series will be:

5 , 8 , 6 , 9 , 7 , 10, 8, 11, 9, 12, 10, 13, .....

This is the required answer.