Chapter 6.5, Problem 7E

To determine

To Find: The common ratio of the geometric sequence $128,96,72,\mathrm{54.....}$ .

Answer to Problem 7E

Common ratio of the sequaence $128,96,72,\mathrm{54.....}$ is $r=\frac{3}{4}$

Explanation of Solution

Given information:

Geometric sequence is $128,96,72,\mathrm{54.....}$ .

Concept and Formula Used:

Geometric Sequence: Sequence in which each term after the first is found by multiplying the previous term by a constant called common ratio.

Calculation:

It is given that geometric sequence is $128,96,72,\mathrm{54.....}$

Common ratio is

  $r=\frac{96}{128}=\frac{72}{96}=\frac{54}{72}=\frac{3}{4}$

Conclusion:

Common ratio of the sequaence $128,96,72,\mathrm{54.....}$ is $r=\frac{3}{4}$