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Year 11 Maths - Specialist Sequences and Series

Introduction to Sequences

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Questions
Question 1
17399

\({T_n} = 2 \times {3^{n - 3}},\) first \({\rm{3}}\) terms are? 

\(\dfrac{2}{9},\,\,\dfrac{2}{3},\,\,2\)

$$\begin{align}
&T_{n}=2 \times 3^{n-3} \text {, the first three terms are?}\\
&\begin{aligned} T_{1} &=2 \times 3^{1-3} \\ &=2 \times 3^{-2} \\ &=\frac{2}{9} \end{aligned}\\
&\begin{aligned} T_{2} &=2 \times 3^{2-3} \\ &=2 \times 3^{-1} \\ &=\frac{2}{3} \end{aligned}\\
&\begin{aligned} T_{3} &=2 \times 2^{3-3} \\ &=2 \times 2^{\circ} \\ &=2 \end{aligned}
\end{align}$$

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