Let S n = 1/(1³) + (1 + 2)/(1³ + 2³) + (1 + 2 + 3)/(1³ + 2³ + 3³) +......... + (1 + 2 +....... + n)/(1³ + 2³ +...... + n³). If 100 S n = n, then n is equal to:

Sequence and Series: JEE Main 2017 Mathematics question

JEE Main 2017 · 9 Apr, Morning shift · Q5296

JEE Main 20179 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002

Let S_n =

{1 \over {{1^3}}}

+ {{1 + 2} \over {{1^3} + {2^3}}} + {{1 + 2 + 3} \over {{1^3} + {2^3} + {3^3}}} + ......... + {{1 + 2 + ....... + n} \over {{1^3} + {2^3} + ...... + {n^3}}}.

If 100 S_n = n, then n is equal to :

JEE Main 2017 · 9 Apr, Morning shift · Q5296

JEE Main 20179 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002

Let S_n =

{1 \over {{1^3}}}

+ {{1 + 2} \over {{1^3} + {2^3}}} + {{1 + 2 + 3} \over {{1^3} + {2^3} + {3^3}}} + ......... + {{1 + 2 + ....... + n} \over {{1^3} + {2^3} + ...... + {n^3}}}.

If 100 S_n = n, then n is equal to :