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Bac17
@Bac17
May 2019
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Bonsoir qui peut m' aidez s'il vous-plait
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Geijutsu
Verified answer
Bonjour,
1. a. u1 = 1/(1²) = 1/1 = 1
u2 = (1/(1²))+(1/(2²)) = 1+(1/4) = 5/4
u3 = (1/(1²))+(1/(2²))+(1/(3²)) = (5/4)+(1/9) = (45/36)+(4/36) = 49/36
b. ∀n∈ℕ
*,
car (n+1)² ≥ 1 > 0
Donc
est croissante.
2. a. Pour tout entier k ≥ 2,
Donc
, ce qui est toujours vrai car k ≥ 2
Donc
Je te laisse faire le reste.
2 votes
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Lista de comentários
Verified answer
Bonjour,1. a. u1 = 1/(1²) = 1/1 = 1
u2 = (1/(1²))+(1/(2²)) = 1+(1/4) = 5/4
u3 = (1/(1²))+(1/(2²))+(1/(3²)) = (5/4)+(1/9) = (45/36)+(4/36) = 49/36
b. ∀n∈ℕ*,
car (n+1)² ≥ 1 > 0
Donc est croissante.
2. a. Pour tout entier k ≥ 2,
Donc , ce qui est toujours vrai car k ≥ 2
Donc
Je te laisse faire le reste.