4 3 1 1 2 1 -2 -3
What's the pattern and the next numbers of this sequence?
To determine the pattern in the given sequence and find the next numbers, we need to observe the changes or relationships between consecutive terms.
Looking at the sequence: 4 3 1 1 2 1 -2 -3
First, let's consider the differences between adjacent terms:
3 - 4 = -1
1 - 3 = -2
1 - 1 = 0
2 - 1 = 1
1 - 2 = -1
-2 - 1 = -3
-3 - (-2) = -1
We observe that the differences do not follow a consistent pattern. The sequence of differences does not provide clear information about the pattern.
Next, let's examine the pattern formed by the actual terms:
4 3 1 1 2 1 -2 -3
From this sequence, we can observe that the pattern alternates between descending and ascending numbers. The pattern can be represented as follows:
4 (Descending) -> 3 (Descending) -> 1 (Ascending) -> 1 (Descending) -> 2 (Ascending) -> 1 (Descending) -> -2 (Ascending) -> -3 (Descending)
Based on this pattern, we can predict the next numbers:
Next number: -3 (Ascending), so the next numbers in the sequence would be -3 and then -2, which would continue the pattern.
Therefore, the next numbers in the sequence are -3 and -2.