The value of the positive integer \( n \) for which the
\( \mathrm{...
The value of the positive integer \( n \) for which the
\( \mathrm{P} \) quadratic equation \( \sum_{k=1}^{n}(x+k-1)(x+k)=10 n \) has
W solution \( \alpha \) and \( \alpha+1 \) for some \( \alpha \), is
(1) 7
(2) 11
(3) 17
(4) 25
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