QuestionJuly 23, 2025

Find the next three terms in the sequence. 9,12,16,21,ldots 27,34,39 27,34,42 27,34,46 27,34,47

Find the next three terms in the sequence. 9,12,16,21,ldots 27,34,39 27,34,42 27,34,46 27,34,47
Find the next three terms in the sequence.
9,12,16,21,ldots 
27,34,39
27,34,42
27,34,46
27,34,47

Solution
4.6(211 votes)

Answer

27, 34, 42 Explanation 1. Identify the pattern Calculate the differences between consecutive terms: 12-9=3, 16-12=4, 21-16=5. The differences are increasing by 1. 2. Determine the next difference Continue the pattern of differences: Next difference is 5+1=6. 3. Calculate the next term Add the next difference to the last term: 21+6=27. 4. Repeat for subsequent terms Next difference: 6+1=7. Add to the last term: 27+7=34. Next difference: 7+1=8. Add to the last term: 34+8=42.

Explanation

1. Identify the pattern<br /> Calculate the differences between consecutive terms: $12-9=3$, $16-12=4$, $21-16=5$. The differences are increasing by 1.<br /><br />2. Determine the next difference<br /> Continue the pattern of differences: Next difference is $5+1=6$.<br /><br />3. Calculate the next term<br /> Add the next difference to the last term: $21+6=27$.<br /><br />4. Repeat for subsequent terms<br /> Next difference: $6+1=7$. Add to the last term: $27+7=34$.<br /> Next difference: $7+1=8$. Add to the last term: $34+8=42$.
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