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What is the next term of the geometric sequence? 32,16,8", "

What is the next term of the geometric sequence?\newline32,16,832, 16, 8,

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Full solution

Q. What is the next term of the geometric sequence?\newline32,16,832, 16, 8,
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, each term is 12\frac{1}{2} the previous term, which suggests a common ratio.\newlineThe given sequence is geometric.
  2. Find Common Ratio: Identify the common ratio.\newlineTwo consecutive terms are 3232 and 1616.\newline1632=0.5\frac{16}{32} = 0.5\newlineCommon Ratio: 0.50.5
  3. Find Next Term: Find the next term in the sequence.\newlineThe last term given in the sequence is 88.\newlineTo find the next term, multiply the last term by the common ratio.\newline8×0.5=48 \times 0.5 = 4\newlineNext Term: 44

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