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3,7,6,5,9 3,12,1,15 (…)...

3,7,6,5,9 3,12,1,15 (…)

A

18

B

13

C

(-1)

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To find the next term in the series 3, 7, 6, 5, 9, 3, 12, 1, 15, we can analyze the pattern in the sequence. ### Step-by-Step Solution: 1. **Identify the Series**: Write down the series clearly. - Series: 3, 7, 6, 5, 9, 3, 12, 1, 15 2. **Look for Patterns**: Examine the differences between consecutive terms. - 7 - 3 = 4 - 6 - 7 = -1 - 5 - 6 = -1 - 9 - 5 = 4 - 3 - 9 = -6 - 12 - 3 = 9 - 1 - 12 = -11 - 15 - 1 = 14 3. **Separate the Series**: It appears that there are two alternating sequences. - First sequence (odd indexed): 3, 6, 9, 12, 15 - Second sequence (even indexed): 7, 5, 3, 1 4. **Identify the Next Term in Each Sequence**: - For the first sequence (3, 6, 9, 12, 15): The pattern is +3. The next term after 15 is 15 + 3 = 18. - For the second sequence (7, 5, 3, 1): The pattern is -2. The next term after 1 is 1 - 2 = -1. 5. **Combine the Results**: Since we are looking for the next term in the overall series, we will take the next term from the first sequence, which is 18. ### Conclusion: The next term in the series is **18**.
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