0, 2, 6, 12: What's the Next Number in the Sequence?
The sequence 0, 2, 6, 12 appears to be a simple sequence, but it can be challenging to identify the next number in the sequence. In this article, we'll explore the pattern behind the sequence and reveal the next number.
Understanding the Sequence
Let's take a closer look at the sequence:
- 0
- 2
- 6
- 12
At first glance, the sequence might seem random, but there's a hidden pattern. Can you spot it?
The Pattern Revealed
The pattern of the sequence is obtained by adding 2, 4, 6, and so on, to the previous term. In other words, each term is increased by 2, then 4, then 6, and so on.
Here's the sequence with the differences between consecutive terms:
- 0 + 2 = 2
- 2 + 4 = 6
- 6 + 6 = 12
- ...
The Next Number in the Sequence
Now that we've identified the pattern, we can easily find the next number in the sequence. To do so, we'll add 8 (the next difference) to 12:
- 12 + 8 = 20
Therefore, the next number in the sequence is 20.
Conclusion
In this article, we've explored the sequence 0, 2, 6, 12 and discovered the pattern behind it. By adding 2, 4, 6, and so on, to the previous term, we can generate the sequence. Using this pattern, we've found the next number in the sequence, which is 20.
