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What is the next term of the geometric sequence? 108,36,12", "

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Q. {
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, each term is divided by the same number to get the next term.\newlineThe given sequence is geometric.
  2. Find Common Ratio: Identify the common ratio of the sequence.\newlineTo find the common ratio, divide a term by the previous term.\newline36108=13\frac{36}{108} = \frac{1}{3}\newlineThe common ratio is 13\frac{1}{3}.
  3. Calculate Next Term: Find the next term in the sequence using the common ratio.\newlineThe last term given is 1212, and the common ratio is 13\frac{1}{3}.\newlineMultiply the last term by the common ratio to find the next term.\newline12×(13)=412 \times \left(\frac{1}{3}\right) = 4\newlineThe next term in the sequence is 44.

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