Question:
The 100\textsuperscriptth term of the sequence 1,2,2,3,3,3,4,4,4,4, is:
The 100\textsuperscriptth term of the sequence 1,2,2,3,3,3,4,4,4,4, is:
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Use triangular numbers to locate terms.
Updated On: Mar 17, 2026
- 12
- 13
- 14
- 15
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The Correct Option is C
Solution and Explanation
The number n appears n times.
Sum of first k natural numbers:
(k(k+1))/(2) 100
For k=13, sum =91;
For k=14, sum =105.
Hence the 100th term is 14.
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