on le vérifie par x x² - ( x -1)(x +1) = x² - x² +1 =1
(n +1)(n +1) - n (n +2) = n² + n + n + 1 - n² - 2n = 1 e = 1
2³ - 2 = 8 - 2 = 6 donc bien 1 x 2 x 3
105 000 000 km = 1,05 x 10⁸ 2250 x 10⁵ = 2.250 x 10³ x 10⁵ = 2.250 x 10⁸ 2880000000 = 2.88 x 10⁹ 15 x 10⁷ = 1.5 x 10⁸ 45 x 10⁸ = 4.5 x 10⁹ 58 x10 ⁶ = 5.8 x10⁷
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Bonjour1) 2 x 2 - 1 x 3 = 4 - 3 = 1
2) 3 x 3 - 2 x 4 = 9 - 8 = 1
3) 4 x 4 - 3 x 5 = 16 - 15 = 1
4) 5 x 5 - 4 x 6 = 25 - 24 = 1
5) 6 x 6 - 5 x 7 = 36 - 35 = 1
ce type de calcul donnera toujours 1
on le vérifie par x
x² - ( x -1)(x +1)
= x² - x² +1 =1
(n +1)(n +1) - n (n +2)
= n² + n + n + 1 - n² - 2n
= 1
e = 1
2³ - 2 = 8 - 2 = 6 donc bien 1 x 2 x 3
105 000 000 km = 1,05 x 10⁸
2250 x 10⁵ = 2.250 x 10³ x 10⁵ = 2.250 x 10⁸
2880000000 = 2.88 x 10⁹
15 x 10⁷ = 1.5 x 10⁸
45 x 10⁸ = 4.5 x 10⁹
58 x10 ⁶ = 5.8 x10⁷