Suite 1ES A l'aide!! svp
est une suite arithmétique
1-
= 1 et 
=51. Calculer r puis 
2-
= 2 et 
= -18. Calculer r puis 
3-
= 20 et 
=-1. Calculer r puis
1-
2-
3-
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Un=U0+n*r
U25=U0+25r
51=1+25r
r=50/25=2
U1000=1+1000*2=2001
2)
U5=U0+5r
U10=U0+10r
2=U0+5r (1)
-18=U0+10r (2)
(2)-(1)
-20=5r
r=-4
U0=2-5r=2+20=22
U52=22+52*-4=-186
Je te laisse faire le reste
u₂₅ = u₀ + 25 r
=> 51 = 1 + 25 r
=> 25 r = 50
=> r = 50/25 = 2
u₁₀₀₀ = u₀ + (1000) r = 2001
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u₅ = 2 => u₀ + 5 r = 2 --- (1)
u₁₀ = -18 => u₀ + 10 r = -18 -- (2)
(2) - (1) => 5 r = -20 => r = -4
=> u₀ + 5 *(-4) = 2 => u₀ = 22
u₅₂ = u₀ + 52 * r = 22 - 52 * 4 = -186
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u₂₃ = 20
u₃₀ = u₂₃ + 7 * r => 20 + 7 r = -1
=> r = -3
u₂₃ = u₀ + 23 r =20 => u₀ - 23 *3 = 20
u₀ = 89