11² + 12² + 13² + … + 45² = ?
Answer और ExplanationAnswer and explanation
Answer: (D) 31010
112 + 122 + … + 452 = (12 + … + 452) − (12 + … + 102)
12 + … + 452 = 45 × 46 × 916 = 15 × 23 × 91 = 31395
12 + … + 102 = 10 × 11 × 216 = 385
अभीष्ट योग = 31395 − 385 = 31010
✓
योग 31010 है।
112 + 122 + … + 452 = (12 + … + 452) − (12 + … + 102)
12 + … + 452 = 45 × 46 × 916 = 15 × 23 × 91 = 31395
12 + … + 102 = 10 × 11 × 216 = 385
Required sum = 31395 − 385 = 31010
✓
The sum is 31010.
Source: MTS · 06 Feb 2025 · Shift 3। Solution: Prashant Sir, Vijayastra।Source: MTS · 06 Feb 2025 · Shift 3. Solution by Prashant Sir, from Vijayastra.