Special Series
The sum 1² + 2² + 3² + ... + n² equals
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About This Question
- Subject
- mathematics
- Chapter
- sequence and series
- Topic
- special series
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
n(n+1)(2n+1)/6
- Formula Recognition: This represents the sum of the squares of the first n natural numbers.
- Standard Formula: ∑k=1nk2=6n(n+1)(2n+1).
- Example Check (n=3):
- Sum =1+4+9=14.
- Formula estimate: 63(4)(7)=684=14. Matches.
This easy difficulty mathematics question is from the chapter sequence and series, covering the topic of special series. It appeared in the 2025 exam.
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