JEE Main & Advanced
Mathematics
Sequence & Series
Question Bank
Numerical Value Type Questions - Progressions
question_answer
Let \[{{S}_{n}}=\frac{1}{{{1}^{3}}}+\frac{1+2}{{{1}^{3}}+{{2}^{3}}}+...+\frac{1+2+....+n}{{{1}^{3}}+{{2}^{3}}+....+{{n}^{3}}};n=1,2,3...\] Then find maximum value of\[{{S}_{n}}\].