In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
The taxi fare after each km when the fare is Rs. 20 for the first km and rises by Rs. 8 for each additional km.
Given that price for 1st km is Rs. 20 so that is first term ‘a’ of the series.
And also we have been given that for every km after 1st km is Rs. 8
So, for 2 km it will be 20 + 8 = 28
Similarly, 3 km = 28 + 8 + 8 = 36
In the same way it adds on for another km
If we put taxi fares in series for each km. It will look like this,
20, 28, 36, 44, 52 ……
On seeing the above series we can conclude that it is in A.P.
∵ They have same common difference between two consequent numbers (d = 8).