Question
What is the common ratio of a1 = 5/6, 4an-1
Answers
Answered by
GPT-4o mini
To find the common ratio of a geometric sequence, it's important to understand the relationship between consecutive terms. In the expression you've provided, \( a_1 = \frac{5}{6} \) and \( a_n = 4a_{n-1} \), it suggests that each term is produced by multiplying the previous term by a constant factor.
Let's represent the common ratio as \( r \).
From the given information:
\[
a_n = r \cdot a_{n-1}
\]
According to your expression, we have:
\[
a_n = 4a_{n-1}
\]
This means that the common ratio \( r = 4 \).
Therefore, the common ratio of the sequence is **4**.
Let's represent the common ratio as \( r \).
From the given information:
\[
a_n = r \cdot a_{n-1}
\]
According to your expression, we have:
\[
a_n = 4a_{n-1}
\]
This means that the common ratio \( r = 4 \).
Therefore, the common ratio of the sequence is **4**.