NCERT class 10 maths chapter 5 Arithmetic Progressions
Question 1: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. (ii) The amount of air present in a cylinder when a vacuum pump removes 1 4 of the air remaining in the cylinder at a time. (iii) The cost of digging a well after every metre of digging, when it costs ` 150 for the first metre and rises by ` 50 for each subsequent metre. (iv) The amount of money in the account every year, when ` 10000 is deposited at compound interest at 8 % per annum.
Exercise 5.1 maths class 10 Chapter 5 Arithmetic Progressions
Question 2:Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i) a = 10, d = 10 (ii) a = –2, d = 0 (iii) a = 4, d = – 3 (iv) a = – 1, d = 1 2 (v) a = – 1.25, d = – 0.25
CBSE class 10 maths ncert solutions Chapter 5
Question 3:For the following APs, write the first term and the common difference: (i) 3, 1, – 1, – 3, . . . (ii) – 5, – 1, 3, 7, . . . (iii) 1 , 5 9 13 , , , 3 3 3 3 . . . (iv) 0.6, 1.7, 2.8, 3.9, . . .
Question 4:Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. (i) 2, 4, 8, 16, . . . (ii) 2, 5 , 3, 7 , 2 2 . . . (iii) – 1.2, – 3.2, – 5.2, – 7.2, . . . (iv) – 10, – 6, – 2, 2, . . . (v) 3, 3 + 2 , 3 + 2 2 , 3 + 3 2 , . . . (vi) 0.2, 0.22, 0.222, 0.2222, . . . (vii) 0, – 4, – 8, –12, . . . (viii) – 1 2 , – 1 2 , – 1 2 , – 1 2 , . . .(ix) 1, 3, 9, 27, . . . (x) a, 2a, 3a, 4a, . . . (xi) a, a2, a3, a4, . . . (xii) 2, 8, 18 , 32, . . . (xiii) 3, 6, 9 , 12 , . . . (xiv) 12, 32, 52, 72, . . . (xv) 12, 52, 72, 73, . . .