With the following question, it is due today : '( enter the explicit rule for the geometric sequence. 3/2, 3/4, 3/8, 3/16, 3/32, … an=

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:

Where

3. The ratio of the geometric sequence is 2, and you can obtain it by dividing the term

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).