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What is the next term of the geometric sequence? 192,48,12", "

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Full solution

Q. {
  1. Identify type of sequence: Identify the type of sequence.\newlineThe sequence 192192, 4848, 1212 is reducing by a factor each time, which indicates it is a geometric sequence.
  2. Determine common ratio: Determine the common ratio of the geometric sequence.\newlineTo find the common ratio, divide the second term by the first term: 48192=14\frac{48}{192} = \frac{1}{4}.\newlineCommon Ratio: 14\frac{1}{4}
  3. Calculate next term: Calculate the next term in the sequence using the common ratio.\newlineThe last term given in the sequence is 1212. To find the next term, multiply 1212 by the common ratio of 14\frac{1}{4}.\newlineNext term: 12×14=312 \times \frac{1}{4} = 3

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