Real life examples of A.P.

An Arithmetic progression involves the basic principle of counting.

a. If you deposit the same amount of money every week in a piggy bank, the weekly total amounts form an A.P.

b. In an aluminum ladder with sloping sides, the lengths of each rung would form an A.P. (See adjacent figure)

c. If you hire an auto or a taxi, you will be charged a fixed amount (say Rs. x) for a certain distance. Thereafter, you will have to pay additional charges per every km travelled (say Rs. y).
So, the total fares at the end of every km form an A.P. as:
x, x + y, x + 2y, x + 3y, etc