Question:
Find the missing number in the sequence: 9, 3, _________, 1/3, 1/9
Find the missing number in the sequence: 9, 3, _________, 1/3, 1/9
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For number sequences, check for multiplication or division patterns before exploring complex operations. This often reveals a simple progression.
Updated On: Aug 14, 2025
- 2
- 6
- 1/2
- 1
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The Correct Option is D
Solution and Explanation
We are given the sequence:
\[
9,\ 3,\ _________,\ \frac{1}{3},\ \frac{1}{9}
\]
Step 1: Identifying the pattern
From \(9\) to \(3\): \[ 9 \div 3 = 3 \] From \(3\) to the missing term: We again divide by 3: \[ 3 \div 3 = 1 \] From \(1\) to \(\frac{1}{3}\): \[ 1 \div 3 = \frac{1}{3} \] From \(\frac{1}{3}\) to \(\frac{1}{9}\): \[ \frac{1}{3} \div 3 = \frac{1}{9} \] Step 2: Conclusion
The sequence follows the rule: \textit{"Each term is obtained by dividing the previous term by 3"}.
Thus, the missing number is: \[ \boxed{1} \]
From \(9\) to \(3\): \[ 9 \div 3 = 3 \] From \(3\) to the missing term: We again divide by 3: \[ 3 \div 3 = 1 \] From \(1\) to \(\frac{1}{3}\): \[ 1 \div 3 = \frac{1}{3} \] From \(\frac{1}{3}\) to \(\frac{1}{9}\): \[ \frac{1}{3} \div 3 = \frac{1}{9} \] Step 2: Conclusion
The sequence follows the rule: \textit{"Each term is obtained by dividing the previous term by 3"}.
Thus, the missing number is: \[ \boxed{1} \]
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