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Home » This is a geometric series: first term a = 3, ratio r = 0.95, n = 10 terms. - Appfinity Technologies

This is a geometric series: first term a = 3, ratio r = 0.95, n = 10 terms. - Appfinity Technologies

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Mar 01, 2026

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Volume of one cone:
\[ V = \frac{1}{3} \pi \times 4^2 \times 15 = \frac{1}{3} \pi \times 1...
Total volume for 5 liters:
\[ 5000 \text{ cm}^3 \]
\[ \frac{5000}{251.33} \approx 19.89 \]
Round up to 20 cones.
The \( n \)-th term \( a_n \) is:
\[ S_{10} = 3(10)^2 + 5(10) = 300 + 50 = 350 \]
\[ S_9 = 3(9)^2 + 5(9) = 243 + 45 = 288 \]
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