36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each term. What is the value of r? Please enter your answer as a fraction, such as 6/7 or 1/5. *

The geometric sequence is

36,24,16,,.......

Step-by-step explanation:

The first term of the g.s is 36.

The 4th term of the given sequence is .

The term of the geometric sequence is

Where a is the first term of the geometric sequence and r is the geometric sequence.

Then 4th term of the sequence is

Then, second term of the sequence  

                                                             =24

The third term of the sequence is

                                                        =16

The geometric sequence is

36,24,16,,.......

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."