JEE Main & Advanced
Mathematics
Sequence & Series
Question Bank
Numerical Value Type Questions - Progressions
question_answer
If \[{{S}_{1}},\text{ }{{\text{S}}_{2}},\text{ }{{S}_{3}}\] are the sums of first n natural numbers, their squares, their cubes respectively, then find the value of \[\frac{{{S}_{3}}\left( 1+8{{S}_{1}} \right)}{{{S}_{2}}^{2}}\] .