Question:
3, 9, .............., 6561
3, 9, .............., 6561
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For number series with clean jumps, test a constant multiplier (geometric ratio). Validate by checking several steps, especially against a distant term.
Updated On: Aug 12, 2025
- 18
- 27
- 81
- 61
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The Correct Option is B
Solution and Explanation
To solve the sequence problem, identify the pattern between the numbers:
The sequence starts at 3 and ends at 6561. Noticing that each number is a power of 3, we can represent the sequence as 31, 32, ..., 3n.
Let's verify this by calculating the powers of 3:
- 31 = 3
- 32 = 9
- 33 = 27
- 34 = 81
- 35 = 243
- 36 = 729
- 37 = 2187
- 38 = 6561
Therefore, the sequence is 3, 9, 27, ..., 6561. Thus, the missing number is 27.
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