Answer:
[tex]D_{t} =95t[/tex]
Step-by-step explanation:
A train was travelling with a constant speed.
As given in the table at time t = 1 hour, distance covered = 95 miles.
Similarly at time t = 2 hours distance covered = 190 miles
so difference = 190 - 95 = 95 miles
When we calculate the difference in the distances traveled at time t = 3 and t = 2
Distance covered = 285 - 190 = 95 miles
Now we are confirm that distance traveled d in t hours is representing an arithmetic sequence.
Explicit formula of an arithmetic sequence is represented by
[tex]D_{(t)}=D_{0}+(t-1)d[/tex]
Where [tex]D_{t} =95[/tex] miles
and d = 95 miles [ common difference ]
so [tex]D_{t} =95[/tex] + (t-1)95
= 95 + 95t - 95
[tex]D_{t} =95t[/tex]
Expression will be [tex]D_{t} =95t[/tex]
