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Home » Setting \( 180(n-2) = 1440 \), solve for \( n \): - AMAZONAWS

Setting \( 180(n-2) = 1440 \), solve for \( n \): - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A journalist writes a series of 8 articles. The first article is 1,100 words, and each subsequent article is 5% longer than the previous one. What is the total word count for all 8 articles? (Round to nearest whole number)

📌 This is a geometric series with first term \( a = 1,100 \), ratio \( r = 1.05 \), and \( n = 8 \).

📌 \[ S = a \frac{r^n - 1}{r - 1} = 1,100 \times \frac{(1.05)^8 - 1}{0.05} \]

📌 \[ (1.05)^8 \approx 1.47746 \]

📌 \[ S = 1,100 \times \frac{1.47746 - 1}{0.05} = 1,100 \times \frac{0.47746}{0.05} = 1,100 \times 9.5492 = 10,454.12 \]

📌 \[ \approx 10,454 \]

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