find the commons ratio of the geometric sequences 3,4.5,6.75,10,125
Answer (2)
Answer:To find the common ratio of a geometric sequence, you can divide any term by the preceding term. Let's calculate the common ratio \( r \) for the given sequence \( 3, 4.5, 6.75, 10.125 \):1. \( r = \frac{4.5}{3} = 1.5 \)2. \( r = \frac{6.75}{4.5} = 1.5 \)3. \( r = \frac{10.125}{6.75} = 1.5 \)Each calculation confirms that the common ratio \( r \) is **1.5**.
Answer : 1.5Solution : 4.5/3 = 1.5, 6.75/4.5 = 1.5, 10/6.75 = 1.48 ≈ 1.5Therefore, the answer is 1.5
