Question

what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal

Answer 1

Given:

The geometric sequence is

`\begin{gathered} a_1,a_2,a_3,a_4 \\ (35)/(2),7,(14)/(5),(28)/(25) \end{gathered}`

To find the common ratio,

`\begin{gathered} Ratio=(a_2)/(a_1) \\ =(7)/((35)/(2)) \\ =(7\cdot2)/(35) \\ =(14)/(35) \end{gathered}`

Hence the common ratio, r is 14/35.