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Year 11 Maths - Specialist Sequences and Series

Geometric Sequences

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Questions
Question 1
17403

The \({\rm{10th}}\) term of the geometric sequence \({\rm{ }}2,\,4,\,8,\,...\) is?

\(1024\)

$$
\begin{array}{l}
a=2, r=\dfrac{4}{2}=2 \\
T_{n}=a r^{n-1} \\
T_{10}=2 \times 2^{9}=2^{10}=1024
\end{array}
$$

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