Question

In which of the given situation, does the list of numbers involved make an arithmetic progression, and why?
The taxi fare after each km when the fare is Rs.15 for the first km and Rs 8 for each additional km.

Answer 1

Taxi fare for $1$km$=15$

Taxi fare for $2$km$=15+8=23$

Taxi fare for $3$km$=23+8=31$

$\therefore$ Series is $15,23,31,..$

Difference between $2^{nd}$ term and $1^{st}$ term

$=23-15=8$

Difference between $3^{rd}$ term and $2^{nd}$ term

$=31-23=8$

Since the difference is the same, it is an A.P