Question

PLEASE HELP WITH THE FOLLOWING QUESTION, IT IS DUE TODAY PLEASE PLEASE :'(

Enter the explicit rule for the geometric sequence.



3/2, 3/4, 3/8, 3/16, 3/32, …

an=

Answer 1

Answer:
`a_n=(3)/(2^n)`

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:

`a_n=(3)/(2^n)`

Where
`n=1,2,3,4...`

3. The ratio of the geometric sequence is 2, and you can obtain it by dividing the term
`(a_((n+1)))/(a_n)`