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1. What are the next three terms in the sequence
-3,6,15,24 …..
A. 35,46,57
B. 34,44,54
C. 33,44,56
D. 33,42,51 *****
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To find the next three terms in the sequence -3, 6, 15, 24, we need to identify the pattern or rule that governs how each term is obtained.
Looking at the given terms, we can see that each term is obtained by adding 9 to the previous term.
To find the next term, we add 9 to the previous term: 24 + 9 = 33.
Therefore, the next term in the sequence is 33.
Following the same pattern, we add 9 to 33 to find the term after: 33 + 9 = 42.
Continuing with the pattern, we add 9 to 42 to find the term after: 42 + 9 = 51.
Therefore, the next three terms in the sequence are 33, 42, 51.
Therefore, the correct answer is option D: 33, 42, 51.