Answer: [tex]a_n=\frac{3}{2^n}[/tex]
Step-by-step explanation:
1. To find the rule of the sequence shown in the problem, you can observe the change that occurs from a number to the other number:
- The numerator does not change.
- The denominator increases twice in each number.
2. Then, the formula is:
[tex]a_n=\frac{3}{2^n}[/tex]
Where [tex]n=1,2,3,4...[/tex]
3. The ratio of the geometric sequence is 2, and you can obtain it by dividing the term [tex]\frac{a_{(n+1)}}{a_n}[/tex]
