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What is the next term of the geometric sequence? 250,50,10", "

What is the next term of the geometric sequence?\newline250,50,10250, 50, 10,

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Full solution

Q. What is the next term of the geometric sequence?\newline250,50,10250, 50, 10,
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 250,50,10250, 50, 10 decreases by a constant factor each time. This indicates that 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: 50250=15\frac{50}{250} = \frac{1}{5}.
  3. Find next term: Use the common ratio to find the next term.\newlineThe third term is 1010, so to find the fourth term, multiply the third term by the common ratio: 10×(15)=210 \times \left(\frac{1}{5}\right) = 2.

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