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COMEDK2014MathematicsSequences and Series

For a natural number n , which one is the correct statement?

Options

  1. A1³+2³+ .+n³=(1+2+ . .+n)²
  2. B1³+2³+ .+n³>(1+2+ . .+n)²
  3. C1³+2³+ .+n³ < (1+2+ .+n)²
  4. D1³+2³+ .+n³ (1+2+ .+n)²

Correct answer

A. 1³+2³+ .+n³=(1+2+ . .+n)²

Step-by-step solution

1³+2³+ .+n³ = ( n(n+1) 2 )²=(1+2+ .+n)²

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