What are the next three terms the sequence?

-3, 6, 15, 24, ...

35, 46, 57

34, 44, 54

33, 44, 56

33, 42, 51

33, 42, 51.

The common difference between each term is 9, so to find the next three terms, we add 9 to the last term (24) three times:

24 + 9 = 33

33 + 9 = 42

42 + 9 = 51

To determine the pattern in the sequence -3, 6, 15, 24, ..., we can observe that each term increases by 9. Hence, we can add 9 to each term to find the next three terms.

The next three terms in the sequence are:
-3 + 9 = 6,
6 + 9 = 15,
15 + 9 = 24.

Therefore, the next three terms in the sequence are 6, 15, and 24.

To find the next three terms in the given sequence -3, 6, 15, 24, ... , we need to identify the pattern or rule that is being followed.

In this sequence, we can observe that each term is obtained by adding 9 to the previous term. Therefore, the rule can be stated as "add 9 to the previous term to get the next term."

Using this rule, we can find the next three terms in the sequence by applying the rule repeatedly:

24 + 9 = 33
33 + 9 = 42
42 + 9 = 51

Therefore, the next three terms in the sequence are 33, 42, and 51.