The taxi fare after each km, when the fare is Rs 15 for the first km and Rs 8 for each additional km, does not form an AP as the total fare (in Rs) after each km is 15, 8, 8, 8, … . Is the statement true? Give reasons.


No, because the total fare after each km is


15, 15 + 8, 15 + 8(2), 15 + 8(3) …….


15, 23, 31, 39….


a1 = 15, a2 = 23, a3 = 31 and a4 = 39


a2 - a1 = 23 - 15 = 8


a3 - a2 = 31 - 23 = 8


a4 - a3 = 39 - 31 = 8


Since, all the successive terms of the given list have same difference i.e., common difference = 8.


Hence, the total fare after each km forms an AP.


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