(Q3). Think how each of the list given below form an A.P. Discuss with your friends.

(a) Heights (in cm) of some students of a school standing in a queue in the morning assembly are 147,148, 149,…, 157.

The given list forms an A.P, since each term starting from the second is obtained by adding a fixed number + to its preceding term.

(b) Minimum temperatures (in degree ‘ Celsius) recorded for a week, in the month of January in a city, arranged in ascending order are -3.1, -3.0, -2.9, -2.8, -2.7, -2.6, -2.5, …….

The given list forms an A.P, since every term starting from the second is obtained by adding a fixed number + to its preceding term.

(c) The balance money (in Rs.) after paying 5% of the total loan of Rs. 1000 every month is 950, 900, 850, 800, …, 50.

The given list forms an A.P, since each term starting from the second is obtained by adding a fixed number (-) to its preceding term.

(d) Cash prizes (in Rs.) given by a school to the toppers of Classes I to XII are 200, 250, 300, 350, ….., 750 respectively.

The given list forms an A.P, since each term starting from the second is obtained by adding a fixed number to its preceding term.

(e) Total savings (in Rs.) after every month for 10 months when Rs. 50 are saved each month are 50, 100, 150, 200, 250, 300, 350, 400, 450, 500.

The given list forms an A.P, since every term starting from the second term is obtained by adding a fixed number to its preceding term.