Isn't 100000 such a huge number (Part 11 ) ?

Algebra Level 3

Let $$T(x)=x^{124}+x^{123}+x^{122}+\ldots+x+1$$ and $$a_{1},a_{2},a_{3}, \ldots, a_{123},a_{124}$$ be the values of $$x$$ for which $$T(x) = 0$$.

If $$V_{n} = a_{1}^{n} + a_{2}^{n} + a_{3}^{n} + \ldots + a_{124}^{n}$$, then find

$\large \sum_{n=0}^{100000} (-1)^{n}V_{n}$

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