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Home » Substituting into the expression for $ g(u) $: - Midis

Substituting into the expression for $ g(u) $: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Une suite gÃ©omÃ©trique a un premier terme de 3 et une raison de 2. Trouvez la somme des 6 premiers termes.

📌 La somme des \( n \) premiers termes d'une suite gÃ©omÃ©trique est :

📌 \[ S_n = a rac{r^n - 1}{r - 1} \]

📌 avec \( a = 3 \), \( r = 2 \), \( n = 6 \) :

📌 \[ S_6 = 3 rac{2^6 - 1}{2 - 1} = 3(64 - 1) = 3 imes 63 = 189 \]

📌 La somme est 189.

📌 Un prisme rectangulaire a un volume de 120 cmÂ³, une hauteur de 5 cm, et sa base est un rectangle dont la longueur est le double de sa largeur. Trouvez la largeur.

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