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Home » \( x = 240 / 6.1051 \approx 39.32 \) - Portal da AcÃºstica

\( x = 240 / 6.1051 \approx 39.32 \) - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The sum of the first 10 terms of an arithmetic sequence is 145. If the first term is 5, what is the common difference?

📌 Sum formula: \( S_n = \frac{n}{2} (2a + (n-1)d) \)

📌 Here, \( S_{10} = 145 \), \( a = 5 \), \( n = 10 \)

📌 \( 145 = \frac{10}{2} (2 \times 5 + 9d) \)

📌 \( 145 = 5 (10 + 9d) \)

📌 \( 145 = 50 + 45d \)

📌 \( 95 = 45d \)

📌 \( d = \frac{95}{45} = \frac{19}{9} \approx 2.11 \)

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