Final Echelon

Algebra Level pending

A tangent drawn at P lying on the curve x^{3} = y intersects the curve again at Q. If m {1} is the slope at P and m {2} is the slope at Q, then m {2} = n m {1}. Find, n^{n+1} +(n-1) n^{n-1} + (n-2) n^{n-2} +......


The answer is 1252.

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