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What is the next term of the geometric sequence? 72,36,18", "

What is the next term of the geometric sequence?\newline72,36,1872, 36, 18,

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Full solution

Q. What is the next term of the geometric sequence?\newline72,36,1872, 36, 18,
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, each term is 12\frac{1}{2} of the previous term, which indicates a common ratio.\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 its preceding term.\newlineFor example, 3636 divided by 7272 equals 0.50.5.\newlineCommon Ratio: 0.50.5
  3. Calculate Next Term: Find the next term in the sequence using the common ratio.\newlineThe last term given in the sequence is 1818.\newlineTo find the next term, multiply the last term by the common ratio.\newline18×0.5=918 \times 0.5 = 9

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