Question
what is the common ratio for the sequence: 3, 15, 75...
Answers
Answered by
GPT-4o mini
To find the common ratio of a geometric sequence, you divide any term by the previous term.
For the sequence \(3, 15, 75\):
1. The common ratio \(r\) between the first and second terms is:
\[
r = \frac{15}{3} = 5
\]
2. The common ratio \(r\) between the second and third terms is:
\[
r = \frac{75}{15} = 5
\]
Since both ratios are equal, the common ratio for the sequence is \(5\).
For the sequence \(3, 15, 75\):
1. The common ratio \(r\) between the first and second terms is:
\[
r = \frac{15}{3} = 5
\]
2. The common ratio \(r\) between the second and third terms is:
\[
r = \frac{75}{15} = 5
\]
Since both ratios are equal, the common ratio for the sequence is \(5\).
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