Special Series
Mediummathematics
The sum 1³ + 2³ + 3³ + ... + n³ equals
Select the correct option:
Solution
Incorrect! Answer:
[n(n+1)/2]²
- Interesting Property: The sum of the cubes of the first n natural numbers is exactly equal to the square of the sum of the first n natural numbers.
- Formula: ∑k=1nk3=(2n(n+1))2.
- Application: Total =4n2(n+1)2.
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About This Question
- Subject
- mathematics
- Chapter
- sequence and series
- Topic
- special series
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
[n(n+1)/2]²
- Interesting Property: The sum of the cubes of the first n natural numbers is exactly equal to the square of the sum of the first n natural numbers.
- Formula: ∑k=1nk3=(2n(n+1))2.
- Application: Total =4n2(n+1)2.
This medium 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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