Explanation
1. Understand the Rule
To get the next term, you "read out loud" the digits of the current term, counting how many times each digit appears in a row.
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Row 1: 1 (One '1') → Row 2: 11
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Row 2: 11 (Two '1's) → Row 3: 21
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Row 3: 21 (One '2', One '1') → Row 4: 1211
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Row 4: 1211 (One '1', One '2', Two '1's) → Row 5: 111221
2. Finding the 10th Number
The 9th number provided is: 31131211131221
Let's read it:
Combining these: 13211311123113112211
3. Finding the 11th Number
Now we read the 10th number: 13211311123113112211
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One '1' (11)
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One '3' (13)
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One '2' (12)
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Two '1's (21)
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One '3' (13)
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Three '1's (31)
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One '2' (12)
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One '3' (13)
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Two '1's (21)
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One '3' (13)
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Two '1's (21)
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Two '2's (22)
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Two '1's (21)
Combining these: 11131221133112132113212221
Final Answer:
The next two numbers match the pattern found in Option (d).
Correct Option: (d)