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Home » \[ 7\left(\frac2q + 83\right) + 5q = 35 \] - Get link 4share

\[ 7\left(\frac2q + 83\right) + 5q = 35 \] - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solving for \( r \), \( r = rac{31.4}{6.28} = 5 \).

📌 If the arithmetic mean of five numbers is 12 and four of the numbers are 10, 14, 8, and 16, find the fifth number.

📌 Let the fifth number be \( x \).

📌 The mean is \( rac{10 + 14 + 8 + 16 + x}{5} = 12 \).

📌 Simplifying, \( 48 + x = 60 \).

📌 Solving for \( x \), \( x = 60 - 48 = 12 \).

📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = 3n^2 + 5n \). Find the 10th term.

📌 The nth term \( a_n \) is given by \( a_n = S_n - S_{n-1} \).

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