Q. The $n$th term of the series $\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + ...$ will be
A) $n^{2} + 2n + 1$
B) $\frac{n^{2} + 2n + 1}{8}$
C) $\frac{n^{2} + 2n + 1}{4}$
D) $\frac{n^{2} - 2n + 1}{4}$
Explanation
The correct answer is Option C: $\frac{n^{2} + 2n + 1}{4}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.