What are the next three terms in the sequence? -3,6,15,24
6 - ( - 3 ) = 9
15 - 6 = 9
24 - 15 = 9
33 - 24 = 9
42 - 33 = 9
51 - 42 = 9
- 3 ,6 ,15 , 24 , 33 , 42 , 51
Arithmetic progression.
Initial term a1 = - 3
Common difference d = 9
Just count, -3 to 6 is 9, 6 to 15 is 9, 15 to 24 is 9
Common Difference is 9
To find the next three terms in the sequence, we need to determine the pattern. By observing the given sequence, we can see that each term increases by 9. Therefore, the pattern is an arithmetic sequence with a common difference of 9.
To find the next three terms, we add 9 to the last term repeatedly:
24 + 9 = 33
33 + 9 = 42
42 + 9 = 51
Therefore, the next three terms in the sequence are 33, 42, and 51.
To find the pattern in the sequence, we can look at the difference between consecutive terms.
The difference between the first and second term is 6 - (-3) = 9.
The difference between the second and third term is 15 - 6 = 9.
The difference between the third and fourth term is 24 - 15 = 9.
So, we can see that the common difference between each pair of consecutive terms is 9.
To find the next three terms in the sequence, we apply this common difference:
The fourth term is 24, so we add 9 to it: 24 + 9 = 33.
The fifth term is 33, so we add 9 to it: 33 + 9 = 42.
The sixth term is 42, so we add 9 to it: 42 + 9 = 51.
Therefore, the next three terms in the sequence are 33, 42, and 51.