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Question 210022
JEE Mathematics · Medium

Sequences and Series: Sum of cubes MCQ

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Sum of cubesMediumQuestion 210022

Question

1³ + 2³ + 3³ + ... + n³ equals:
  1. A
    n²(n+1)²/4
  2. B
    n(n+1)/2
  3. C
    [n(n+1)/2]²
    Correct
  4. D
    n(n+1)(2n+1)/6

Correct answer

[n(n+1)/2]²

Explanation

Sum of cubes = [n(n+1)/2]² = (sum of first n naturals)². Note: 1³+2³+3³ = 1+8+27 = 36 = (3×4/2)² = 6² ✓.

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