1.
The number of natural numbers nn in the interval [1005,2010][1005, 2010] for which the polynomial 1+x+x2+x3++xn11 + x + x^2 + x^3 + \ldots + x^{n-1} divides the polynomial 1+x2+x3+x4++x20101 + x^2 + x^3 + x^4 + \ldots + x^{2010} is
Binomial Theorem and Its Simple Applications - Medium - Question