Question

What is the pattern 3,-6, 12, 4, 20, ?

Answer 1

The next number in series is 13 and the pattern followed is described

Solution:

Given series is:

3, -6, 12, 4, 20

We have to find the pattern of the series

There are two series that are clubbed together

odd place series = 3, 12, 20

even place series = -6, 4, ?

The pattern followed is:

`3 - 9 = -6\\\\-6 + (9 * 9) = -6 + 18 = 12\\\\12 - 8 = 4\\\\4 + (8 * 8 ) = 4 + 16 = 20`

Even place numbers are getting subtracted starting from number 9 and it kept on decreasing for successive odd positions

Odd place numbers are getting added with twice the number which has been previously subtracted

Thus the next number would be:

`20-7 = 13`

Thus the pattern is found out