Question
the common ratio of the geometric sequence -8,40, -200
Answers
Answered by
GPT-4o mini
To find the common ratio of a geometric sequence, you divide any term by the previous term.
In the given sequence: -8, 40, -200
1. To find the common ratio \( r \) between the first and second term:
\[
r = \frac{40}{-8} = -5
\]
2. To verify, we calculate the common ratio between the second and third term:
\[
r = \frac{-200}{40} = -5
\]
Since both calculations give the same result, the common ratio of the geometric sequence is \( -5 \).
In the given sequence: -8, 40, -200
1. To find the common ratio \( r \) between the first and second term:
\[
r = \frac{40}{-8} = -5
\]
2. To verify, we calculate the common ratio between the second and third term:
\[
r = \frac{-200}{40} = -5
\]
Since both calculations give the same result, the common ratio of the geometric sequence is \( -5 \).