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SUJET NATIONAL ? BAC S - 2001 B) EXERCICE 2 ... - PlayerMath

c: Comme (A-B)(B+A) = A2 - B2, on a: bn.cn = (2.10n-1) .(2.10n+1) = 4.102n -1 = a2n. En particulier, a6 = b3.c3 = 1999*2001 = 3*23 ...