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{1,2},{4,5,6},{9,10,11,12},{16,17,18,19,20},… \{1,2\} , \{ 4,5,6 \} , \{9,10,11,12\} , \{16,17,18,19,20\} , \ldots {1,2},{4,5,6},{9,10,11,12},{16,17,18,19,20},…
The first nnn positive integers are partitioned into sets as described above.
Let SnS_{n}Sn be the sum of the elements of the set at nthn^{\text{th}}nth position. Find the value of 3S50S51−S50.\sqrt{3} \dfrac{S_{50}}{\sqrt{S_{51}-S_{50}}}.3S51−S50S50.
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