Goodwin Ball
03/15/2023 · Senior High School
2. What are the next four terms of the sequence \( 4,7,10, \ldots \) poi \( 12,14,16,18 \) \( 14,17,20,23 \) \( 13,17,22,28 \) \( 13,16,19,22 \)
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Step-by-step Solution
To find the next four terms of the sequence \( 4, 7, 10, \ldots \), we first need to identify the pattern in the sequence.
The difference between consecutive terms is:
- \( 7 - 4 = 3 \)
- \( 10 - 7 = 3 \)
The sequence is increasing by 3 each time. Therefore, we can continue this pattern to find the next four terms:
1. \( 10 + 3 = 13 \)
2. \( 13 + 3 = 16 \)
3. \( 16 + 3 = 19 \)
4. \( 19 + 3 = 22 \)
Thus, the next four terms of the sequence are \( 13, 16, 19, 22 \).
Quick Answer
The next four terms are \( 13, 16, 19, 22 \).
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