Question1: In which of the following situations, does the list
of numbers involved make an arithmetic progression, and why?
(i) The
taxi fare after each km when the fare is ₹15 for the first km and ₹8 for each additional km.
Solution:
According to the question,
For 1 km, Taxi fare = ₹15
For 2 km, the taxi fare = 15 + 8 = ₹23
For 3km, the taxi fare = 23 + 8 = ₹31
For 4km, the taxi fare = 31 + 8 = ₹39
Therefore the series is 15, 23, 31, 39, and so on
since $a_2 - a_1$= $a_3 - a_2$
Hence it is an AP