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Home » "Pornely Blows Your Mind—This Secret Is Changing Fluids Forever! - Baxtercollege

"Pornely Blows Your Mind—This Secret Is Changing Fluids Forever! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 In a space exploration article, a journalist describes a sequence of five real numbers representing the distance of planets from their star, forming a geometric progression. If the first term is 4 million km and the common ratio is 1.5, solve for the fifth term of this sequence.

📌 The \( n \)-th term of a geometric sequence is given by:

📌 a_n = a_1 \cdot r^{n-1}

📌 Here, \( a_1 = 4 \) million km, \( r = 1.5 \), and we want \( a_5 \):

📌 a_5 = 4 \cdot (1.5)^{5-1} = 4 \cdot (1.5)^4

📌 Calculate \( (1.5)^4 \):

📌 Now, calculate \( a_5 \):

📌 a_5 = 4 \cdot 5.0625 = 20.25

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