Determine the nth term of the sequence 2,4,6,8

1. Find the difference ( diff is 2 )

2. Apply the concept diN+0 (more easier use this :) )

* di is difference

* N is nth term

* 0 is first term - difference

3. Find 0

- first term (2) - difference (2) = 0

2n

nth term=2n

Step-by-step explanation:

first term(a)=2

Common difference(d)=4-2=6-4

Common difference(d)=2

nth term=a+d x (n-1)

nth term=2+2 x (n-1)

nth term=2+2n-2

Collect like terms

nth term=2-2+2n

nth term=0+2n

nth term=2n

- "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."

where's the diagram?

step-by-step explanation: