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Let
S=322×1×2+423×2×3+524×3×4+625×4×5+…\displaystyle S = \frac{3}{2^{2}\times 1 \times 2} + \frac{4}{2^{3}\times 2 \times3} + \frac{5}{2^{4}\times 3 \times 4} + \frac{6}{2^{5} \times 4 \times 5} + \ldots S=22×1×23+23×2×34+24×3×45+25×4×56+…
Then the value of
S−12\displaystyle S^{-12} S−12 is ?
Note
Try to find the nthn^{th}nth term of the series
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