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What is the next term of the geometric sequence? 3,6,12", "

What is the next term of the geometric sequence?\newline3,6,123, 6, 12,

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Full solution

Q. What is the next term of the geometric sequence?\newline3,6,123, 6, 12,
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, each term after the first is obtained by multiplying the previous term by a constant factor.\newlineThe given sequence is geometric.
  2. Find Common Ratio: Identify the common ratio of the geometric sequence.\newlineTo find the common ratio, divide the second term by the first term or the third term by the second term.\newline63=2\frac{6}{3} = 2 or 126=2\frac{12}{6} = 2\newlineCommon Ratio: 22
  3. Find Next Term: Find the next term in the sequence using the common ratio.\newlineThe last term given in the sequence is 1212.\newlineTo find the next term, multiply the last term by the common ratio.\newline12×2=2412 \times 2 = 24\newlineNext Term: 2424

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