(a) Find the $$ n t h $$ term of the sequences $$ \text { (i) } 24,12,6,3, \ldots \text { (ii) } $$

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### (i) Finding the $$ n $$th term for the sequence $$ 24,\,12,\,6,\,3,\,\ldots $$

1. **Identify the pattern:**  
   Each term is half of the previous term. This is a geometric sequence with the first term  
   $$
   a_1 = 24
   $$
   and common ratio  
   $$
   r = \frac{1}{2}.
   $$

2. **Write the general formula:**  
   The $$ n $$th term of a geometric sequence is given by  
   $$
   a_n = a_1 \cdot r^{\,n-1}.
   $$

3. **Substitute the values:**  
   For this sequence,  
   $$
   a_n = 24 \cdot \left(\frac{1}{2}\right)^{n-1}.
   $$

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### (ii) Missing sequence information

The sequence for part (ii) is not provided. Please supply the complete list or description of the sequence so that we can determine its $$ n $$th term.
The $$ n $$th term for the sequence $$ 24, 12, 6, 3, \ldots $$ is $$ 24 \times \left(\frac{1}{2}\right)^{n-1} $$. For the second sequence, the information is incomplete.

(a) Find the \( n t h \) term of the sequences \[ \text { (i) } 24,12,6,3, \ldots \text { (ii) } \]

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