what are the next three term in the sequence
3. 6, 15, 24
33, 42, 51
To find the next three terms in the sequence, we need to identify the pattern in the given sequence.
Looking at the sequence: 3, 6, 15, 24
There are a few possible patterns we can consider. One pattern that seems to be emerging is that the terms are increasing by 3 each time. However, this pattern does not hold true for the fourth term (15 to 24). So, let's analyze the sequence further.
By looking at the differences between consecutive terms, we can determine if there is a consistent pattern:
6 - 3 = 3
15 - 6 = 9
24 - 15 = 9
We can see that the differences between consecutive terms are not constant. However, it looks like the differences of 9 repeat. This suggests that the sequence might be increasing by 3 each time and then adding 9.
Using this pattern, let's calculate the next three terms:
24 + 3 + 9 = 36
36 + 3 + 9 = 48
48 + 3 + 9 = 60
Therefore, the next three terms in the sequence are 36, 48, and 60.
To determine the pattern in the sequence, let's find the differences between consecutive terms:
6 - 3 = 3,
15 - 6 = 9,
24 - 15 = 9.
The differences are all 3 or 9, which suggests the pattern might involve adding 3 or 9 to the previous term.
Now, let's apply this pattern to find the next three terms:
24 + 3 = 27,
27 + 9 = 36,
36 + 3 = 39.
Therefore, the next three terms in the sequence are 27, 36, and 39.