Se considera numerele rationale

x = [tex] \frac{1}{2} - \frac{1}{3} + \frac{1}{4} - \frac{1}{5} + ... + \frac{1}{2002} + \frac{1}{2003} [/tex]

y = [tex] 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} +...+ \frac{1}{2001} - \frac{1}{2002}

a) Calculati media aritmetica a numerelor x si y

b) Aratati ca x < \frac{1001}{2003} < y

Va rog ajutati ma urgent, maine am teza la matematica!!!