Boyd Lee
04/10/2023 · Primary School
OUESTION 2 Consider the following pattern: \( \quad 2 ; 6 ; 18 ; 5 ; \ldots \) 2.1 Determine the next term. 2.2 Determine the general term. 2.3 Which term will have a value of 486 ?
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- 2.1: The next term is 54.
- 2.2: The general term is:
\[
T_n =
\begin{cases}
2 \cdot 3^{(n-1)/2} & \text{if } n \text{ is odd} \\
5 & \text{if } n \text{ is even}
\end{cases}
\]
- 2.3: The term with a value of 486 is the 11th term.
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