1. What are the next three terms in the sequence?
–6, 5, 16, 27, …
(1 point)
What is the difference between each of these numbers?
To find the next three terms in the sequence, we need to determine the pattern or rule governing the sequence. By subtracting each term from its previous term, we can identify the common difference between them. Let's calculate the differences:
5 - (-6) = 11
16 - 5 = 11
27 - 16 = 11
We observed that the differences between consecutive terms are constant and equal to 11. Therefore, the sequence follows an arithmetic progression with a common difference of 11.
To find the next term, we need to add the common difference to the last term given in the sequence.
27 + 11 = 38
The first next term would be 38.
To find the second next term:
38 + 11 = 49
The second next term would be 49.
To find the third next term:
49 + 11 = 60
The third next term would be 60.
Thus, the next three terms in the sequence are 38, 49, and 60.