natalia is writing a recursive formula to represent the sequence.\n8, 12, 18, 27, ...\nwhat value should she…

natalia is writing a recursive formula to represent the sequence.\n8, 12, 18, 27, ...\nwhat value should she use as the common ratio in the formula?\n$\frac{1}{4}$\n$\frac{2}{3}$\n$\frac{3}{2}$\n$\frac{4}{1}$

natalia is writing a recursive formula to represent the sequence.\n8, 12, 18, 27, ...\nwhat value should she use as the common ratio in the formula?\n$\frac{1}{4}$\n$\frac{2}{3}$\n$\frac{3}{2}$\n$\frac{4}{1}$

Answer

Explanation:

Step1: Calculate the ratio of the second term to the first term

The ratio (r_1=\frac{12}{8}=\frac{3}{2})

Step2: Calculate the ratio of the third term to the second term

The ratio (r_2 = \frac{18}{12}=\frac{3}{2})

Step3: Calculate the ratio of the fourth term to the third term

The ratio (r_3=\frac{27}{18}=\frac{3}{2})

Answer:

(\frac{3}{2}) (corresponding to the third option)