Hello,

The complete series would be 2,6,12,20,30,42,56 and so on.

The equation being used here is n x (n+1) where n is the position of digits.

To elaborate it further the digit at 4th position in series can be found  by using the formula n x (n+1) you will get 4 x (4+1) = 20

similarly the digit after 20 that is at 5th position will be 5 x (5+1) = 30.

So the series is 2,6,12,20,30,42,56.

Hope this was helpful

Hello,

In the above question, 2,6,12,20,... if we observe the trend then, the trend is as follows:

• 2 + 0 = 2
• 2 + 4 = 6
• 6 + ( 4 + 2 ) = 12
• 12 + ( 4 + 4 ) = 20

So, the next numbers will be,

• 20 + ( 4 + 6 ) = 30
• 30 + ( 4 + 8 ) = 42
• 42 + ( 4 + 10 ) = 56
• 56 + ( 4 + 12 ) = 72 and so on..

i.e., The series will be 2, 6, 12, 20, 30, 42, 56, 72,...

Best Wishes.

Hey!

Given Aptitude question forms a series in which difference between the two consecutive values is multiple of 2, or next consecutive term comes with the addition of a multiple of 2,that is,

2+ 4 =6

6+ 6 =12

12+ 8 =20

20+ 10 =30

30+ 12 =42

And so on...

So the next value is 30,42

Thank you