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Home » Subtract equation (2) from (3): - Imagemakers

Subtract equation (2) from (3): - Imagemakers

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 \[ s^2 = 10^2 = 100 \, \text{square centimeters} \]

📌 ### Question 17

📌 The sum of the first 10 terms of an arithmetic sequence is 150. If the first term is 5, what is the common difference?

📌 The sum \( S_n \) of the first \( n \) terms of an arithmetic sequence is given by:

📌 \[ S_n = \frac{n}{2} (2a + (n-1)d) \]

📌 Given \( S_{10} = 150 \), \( n = 10 \), \( a = 5 \):

📌 \[ 150 = \frac{10}{2} (2 \times 5 + 9d) \]

📌 \[ 150 = 5 (10 + 9d) \]

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