1) etablir, pour tout entier strictement posotif n: 1/n - 1/n+1 = 1/n(n+1) 2) en deduire une ecriture fractionnaire de : S= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 +...+1/18x19 + 1/19x20

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