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Year 11 Maths - General Number Patterns and Recursion

Geometric Sequence Applications

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Questions
Question 1
30650

Find the 10 th term of the geometric sequence: \(4,\,\,6,\,\,9,\,\,13.5,\, \ldots \)

\(153.8\)

\begin{align}
&a=4,\; r=\frac{6}{4}=1.5 \\
&\begin{aligned}
T_{n}&=a r^{n-1} \\
T_{10}&=4 \times(1.5)^{9} \\
&= 153.8
\end{aligned}
\end{align}

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