JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 32
question_answer
If \[{{S}_{1}},{{S}_{2}},{{S}_{3}}\] are the sums of first n natural numbers, their squares, their cubes respectively, then find the value of \[\frac{{{S}_{3}}(1+8{{S}_{1}})}{{{S}_{2}}^{2}}.\]