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:
[tex]3 - 9 = -6\\\\-6 + (9 \times 9) = -6 + 18 = 12\\\\12 - 8 = 4\\\\4 + (8 \times 8 ) = 4 + 16 = 20[/tex]
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:
[tex]20-7 = 13[/tex]
Thus the pattern is found out
