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📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question 6

📌 La somme des \( n \) premiers termes d’une suite arithmétique est donnée par \( S_n = \frac{n}{2}(2a + (n-1)d) \). Si \( a = 3 \), \( d = 2 \), et \( S_n = 105 \), trouver \( n \).

📌 Solution 6

📌 Substituer les valeurs connues dans la formule :

📌 = \frac{n}{2}(2 \times 3 + (n-1) \times 2) \\

📌 = \frac{n}{2}(6 + 2n - 2) \\

📌 = \frac{n}{2}(2n + 4) \\

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