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

Identify sequence type: Identify the type of sequence. The sequence 250, 50, 10 decreases by a constant factor each time. This indicates that it is a geometric sequence.Determine common ratio: Determine the common ratio of the geometric sequence. To find the common ratio, divide the second term by the first term: 50 / 250 = 1/5.Find next term: Use the common ratio to find the next term. The third term is 10, so to find the fourth term, multiply the third term by the common ratio: 10 * (1/5) = 2.

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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? $\newline$ $250, 50, 10$ ,

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Q. What is the next term of the geometric sequence?

\newline

250, 50, 10

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $250, 50, 10$ decreases by a constant factor each time. This indicates that it is a geometric sequence.
Determine common ratio: Determine the common ratio of the geometric sequence. $\newline$ To find the common ratio, divide the second term by the first term: $\frac{50}{250} = \frac{1}{5}$ .
Find next term: Use the common ratio to find the next term. $\newline$ The third term is $10$ , so to find the fourth term, multiply the third term by the common ratio: $10 \times \left(\frac{1}{5}\right) = 2$ .