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Question 210021
JEE Mathematics · Medium

Sequences and Series: Sum of squares MCQ

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Sum of squaresMediumQuestion 210021

Question

The sum 1² + 2² + 3² + ... + n² equals:
  1. A
    n(n+1)/2
  2. B
    n(n+1)(2n+1)/6
    Correct
  3. C
    [n(n+1)/2]²
  4. D
    n(n+1)(n+2)/6

Correct answer

n(n+1)(2n+1)/6

Explanation

Sum of squares of first n natural numbers = n(n+1)(2n+1)/6. For n=3: 1+4+9 = 14 = 3×4×7/6 = 84/6 = 14 ✓.

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