1³ + 2³ + 3³ + … + 45³= ?
Show answer & explanation
Correct answer: A
Explanation
Given:
1³ + 2³ + 3³ + … + 45³
According to the formula:
1³ + 2³ + … + n³ = [n(n+1)/2]²
= [45×46 / 2]²
= (45×23)²
= (1035)²
= 1071225
SSC MTS - 6 Feb 2026 - Shift 1 • Quantitative Aptitude • Q10
1³ + 2³ + 3³ + … + 45³= ?
Correct answer: A
Explanation
Given:
1³ + 2³ + 3³ + … + 45³
According to the formula:
1³ + 2³ + … + n³ = [n(n+1)/2]²
= [45×46 / 2]²
= (45×23)²
= (1035)²
= 1071225