The table shows a function.
1 answer:
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Answer:
v = 80 mph
Step-by-step explanation:
Given that,
The distance from Wakefield to London is 180 miles.
The train travels this distance in 2 hours 15 minutes.
We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.
So, the required average speed of the train is 80 mph.
First, we are going to find the common ratio of our geometric sequence using the formula: 
. For our sequence, we can infer that 
and 
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that 
; we also know for our previous calculation that . So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>