What is next term in sequence 54,-18,6

-2

Step-by-step explanation:

This is a geometric sequence.  We need to find the common ratio

Take the second term and divide by the first

-18/54 = -1/3

Take the third term and divide by the second

-18/6 = -1/3

The common ratio is -1/3

The next term is the third term times the common ratio

6 * -1/3 = -2

The fourth term  is -2

- "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."

20%

step-by-step explanation: