What is the next term of the geometric sequence? 375,75,15", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, consecutive terms seem to have a common ratio because each term is smaller than the previous one by a consistent factor.Find Common Ratio: Identify the common ratio. Two consecutive terms are 375 and 75. 75 / 375 = 1 / 5 Common Ratio: 1 / 5Calculate Next Term: Find the next term in the sequence. The last term given in the sequence is 15. To find the next term, multiply the last term by the common ratio. 15 * (1 / 5) = 3Check Result Consistency: Check the result for consistency with the sequence. The sequence is 375, 75, 15, and if we have done our calculations correctly, the next term should be 3. To check, we can see if 15 is five times smaller than 75, and if 3 is five times smaller than 15. 75 / 5 = 15 and 15 / 5 = 3, which is consistent with our result.

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What is the next term of the geometric sequence?

375,75,15", "

What is the next term of the geometric sequence? $\newline$ $375, 75, 15$ ,

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

\newline

375, 75, 15

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, consecutive terms seem to have a common ratio because each term is smaller than the previous one by a consistent factor.
Find Common Ratio: Identify the common ratio. $\newline$ Two consecutive terms are $375$ and $75$ . $\newline$ $\frac{75}{375} = \frac{1}{5}$ $\newline$ Common Ratio: $\frac{1}{5}$
Calculate Next Term: Find the next term in the sequence. $\newline$ The last term given in the sequence is $15$ . $\newline$ To find the next term, multiply the last term by the common ratio. $\newline$ $15 \times \left(\frac{1}{5}\right) = 3$
Check Result Consistency: Check the result for consistency with the sequence. $\newline$ The sequence is $375$ , $75$ , $15$ , and if we have done our calculations correctly, the next term should be $3$ . $\newline$ To check, we can see if $15$ is five times smaller than $75$ , and if $3$ is five times smaller than $15$ . $\newline$ $\frac{75}{5} = 15$ and $\frac{15}{5} = 3$ , which is consistent with our result.