If, for a positive integer \( \mathrm{n} \), the quadratic equation...

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If, for a positive integer \( \mathrm{n} \), the quadratic equation, \( \mathrm{x}(\mathrm{x} \) \( +1)+(x+1)(x+2)+\ldots . .+(x+\overline{n-1})(x+n)=10 n \) has
\( \mathrm{P} \) two consecutive integral solutions, then \( \mathrm{n} \) is equal to

W.
(1) 11
(2) 12
[JEE Main-2017]
(3) 9
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