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Home » From Random Shots to Random Stars: Unbelievable Basketball Randoms You Need to See! - Coaching Toolbox

From Random Shots to Random Stars: Unbelievable Basketball Randoms You Need to See! - Coaching Toolbox

📅 May 6, 2026 👤 scraface

May 06, 2026

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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
Thus, the fifth term of the sequence is
\boxed{20.25}
\] million km.

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