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

Ask by Nunez Matthews. in Nigeria
Mar 09,2025

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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.

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Bonus Knowledge

The first sequence is a geometric progression where each term is halved from the previous term. The first term \( a = 24 \) and the common ratio \( r = \frac{1}{2} \). The formula for the \( n t h \) term is given by: \[ T_n = a \cdot r^{(n-1)} = 24 \cdot \left(\frac{1}{2}\right)^{(n-1)} = \frac{24}{2^{n-1}}. \] Now let’s figure out the second sequence. Please provide the terms or any additional details for the second sequence!

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