Ayala Ford
01/27/2023 · Elementary 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 162.
2.2 The general term is:
\[
T_n =
\begin{cases}
2 \times 9^{(n-1)/2} & \text{if } n \text{ is odd} \\
6 - (n/2 - 1) & \text{if } n \text{ is even}
\end{cases}
\]
2.3 The term that equals 486 is the 7th term.
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