ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Arithmetic and Geometric Progressions Ex 9.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Arithmetic and Geometric Progressions Ex 9.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 9 Arithmetic and Geometric Progressions Ex 9.1

Question 1.
For the following A.P.s, write the first term a and the common difference d:
(i) 3, 1, -1, – 3, …..
(ii) $$\frac { 1 }{ 3 } ,\frac { 5 }{ 3 } ,\frac { 9 }{ 3 } ,\frac { 13 }{ 3 } ,….$$
(iii) -3.2, -3, -2.8, -2.6, …
Solution:

Question 2.
Write first four terms of the A.P., 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 = $$\\ \frac { 1 }{ 2 }$$, d = $$– \frac { 1 }{ 2 }$$
Solution:

Question 3.
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms :
(i) 4, 10, 16, 22,…
(ii) -2, 2, -2, 2,…..
(iii) 2, 4, 8, 16,….
(iv) 2, $$\\ \frac { 5 }{ 2 }$$, 3, $$\\ \frac { 7 }{ 2 }$$,……
(v) -10, -6, -2, 2,….
(vi) 1², 3², 5², 7²,….
(vii) 1, 3, 9, 27,….
(viii) √2, √8, √18, √32,….
(ix) 3, 3 + √2, 3 + √2, 3 + 3√2,…..
(x) √3, √6, √9, √12,……
(xi) a, 2a, 3a, 4a,…….
(xii) a, 2a + 1, 3a + 2, 4a + 3,….
Solution: