Question

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

Answer 1

Answer:

0.75

Step-by-step 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:

$r=\dfrac{a_2}{a_1} =\dfrac{a_3}{a_2}=\cdots =\dfrac{a_n}{a_{n-1}}$

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

Common ratio, $r=\dfrac{3}{4} =\dfrac{9/4}{3}=0.75$

The common ratio of the given geometric sequence is 0.75.