In the sequence 6, 9, 14, x, 30, 41, a possible value of 𝑥 is
2024
In the sequence 6, 9, 14, x, 30, 41, a possible value of 𝑥 is
Answer: B. 21 — Key insight: the differences between consecutive terms are consecutive odd numbers. Compute known differences: 9 − 6 = 3, 14 − 9 = 5, and 41 − 30 = 11.…
- A.
25
- B.
21
- C.
18
- D.
20
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Correct answer: B
Key insight: the differences between consecutive terms are consecutive odd numbers.
Compute known differences: 9 − 6 = 3, 14 − 9 = 5, and 41 − 30 = 11.
Recognize the pattern of differences: 3, 5, 7, 9, 11 (consecutive odd numbers).
The next difference after 5 is 7, so x = 14 + 7 = 21.
Check: 21 + 9 = 30 and 30 + 11 = 41, which matches the sequence.
Answer: 21
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