Chapter 6.5, Problem 3E

To determine

To Find: The common ratio of the geometric sequence $4,12,36,\mathrm{108.....}$ .

Answer to Problem 3E

Common ratio of the sequaence $4,12,36,\mathrm{108.....}$ is $r=3$

Explanation of Solution

Given information:

Geometric sequence is $4,12,36,\mathrm{108.....}$ .

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 $4,12,36,\mathrm{108.....}$

Common ratio is

  $r=\frac{12}{4}=\frac{36}{12}=\frac{108}{36}=3$

Conclusion:

Common ratio of the sequaence $4,12,36,\mathrm{108.....}$ is $r=3$