(Q4).Find the common difference of each of the given lists. Think when is it positive?

Common difference d = a2 – a1

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

d = a2 – a1 = =

(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, …….

d = a2 – a1 = - – (-) =

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

d = a2 – a1 = = -

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

d = a2 – a1 = =

(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.

d = a2 – a1 = =

Common difference is positive when a2 > a1