2016 · Q98
What is the difference between the sum of the cubes and that of squares of first ten natural numbers ?
Elementary MathematicsNumber System
- A2280
- B2640
- C3820
- D4130
Explanation
Σn³ = (10×11/2)² = 55² = 3025, and Σn² = 10×11×21/6 = 385. Their difference is 3025−385 = 2640. Hence option B.