What Is The Next 3 In Pattern: 2,6,12,20,30?

The next three #'s in the pattern are 42, 56, and 72
thanked the writer.
42, 56, 72
thanked the writer.
1 x 2 = 2
2 x 3 = 6
3 x 4 = 12
4 x 5 = 20
5 x 6 = 30
6 x7 = 42
7 x 8 = 56
8 x 9 = 72
etc
thanked the writer.
It's really simple if you look at it.

The pattern is that it is going like 4,6,8,10

Sp to continue the pattern we have to use 12,14 and 16.

So the next three numbers would be 42,56 and 72.

thanked the writer.
The difference between each number is an even number in increasing order. 2,6 (diff 4), 6,12 (diff 6) so on,,, so the answer is the next sequence is 42,56,72, 90
thanked the writer.
A lot of "what number comes next in this series" questions can be answered by looking at the differences between the numbers that are given. In this series, the "first differences" are 4, 6, 8, 10. That is 6-2=4, 12-6=6, 20-12=8, 30-20=10.

The series 4, 6, 8, 10 looks like it might have a next value of 12. That is, each number is 2 greater than the one before it. If the next "first difference" is 12, then next series number N will be different from 30 by that amount:
N - 30 = 12, so
N = 12 + 30 = 42.

Answering a question of this sort is all about trying to find the rule that is used to get from one number to the next. Sometimes the author of the series will have a specific rule in mind, but more than one rule may actually fit all the numbers. In other words, sometimes there is more than one "right" answer. Once you think you know what the rule is, you should always check your work to make sure it applies to every number in the series (after the first).

We think the series is
2 - 6 - 12 - 20 - 30 - 42
and we think the first differences should increase by 2 each time
- 4 - 6 -  8  - 10  - 12
It seems to fit.
thanked the writer.
Anonymous commented
Thanks for not only giving me the answer but showing me how you arrived to it. This really helped me. 