Q. The sum of the series $1^{3} + 2^{3} + 3^{3} + ... + 15^{3}$ is
A) 22000
B) 10000
C) 14400
D) 15000
Explanation
(c)
Let $S = 1^{3} + 2^{3} + 3^{3} + ... + 15^{3}$
$= \sum_{n = 1}^{15}{n^{3} = \left( \frac{15(15 + 1)}{2} \right)^{2}}$
$= 14400$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.