Question

Find the common ratio of the geometric sequence 4,3,9over4

Answer 1

0.75

Explanation:

Given a geometric sequence:
`a_1,a_2,a_3...,a_n`

The common ratio is derived by dividing any next term by the preceeding term.

That is:

`r=(a_2)/(a_1) =(a_3)/(a_2)=\cdots =(a_n)/(a_(n-1))`

In the geometric sequence: 4,3,9/4

Common ratio,
`r=(3)/(4) =(9/4)/(3)=0.75`

The common ratio of the given geometric sequence is 0.75.