JEE maths#18
Algebra
Level
4
\[\large S = \frac{1^{2}}{1\times3} + \frac{2^{2}}{3\times5} + \frac{3^{2}}{5\times7} + \cdots + \frac{500^{2}}{999\times1001}\]
For \(S\) as defined above, find the number of divisors of \( \left \lfloor S \right \rfloor\).
\(\)
Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.
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by
Rahil Sehgal