Q. The sum of the series $1 \bullet 3 \bullet 5 + 2 \bullet 5 \bullet 8 + 3 \bullet 7 \bullet 11 + ...$ upto $n$ term is
A) $\frac{n(n + 1)(9n^{2} + 23n + 13)}{6}$
B) $\frac{n(n - 1)(9n^{2} + 23n + 12)}{6}$
C) $\frac{(n + 1)(9n^{2} + 23n + 13)}{6}$
D) $\frac{n\left( 9n^{2} + 23n + 13 \right)}{6}$
Explanation
The correct answer is Option A: $\frac{n(n + 1)(9n^{2} + 23n + 13)}{6}$.
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.