RD Sharma Solutions for Class 10 Chapter 9 Arithmetic Progression Exercise 9.1

RD Sharma Solutions Chapter 9 Arithmetic Progression Exercise 9.1 Class 10 Maths

Chapter Name	RD Sharma Chapter 9 Arithmetic Progression
Book Name	RD Sharma Mathematics for Class 10
Other Exercises	Exercise 9.2 Exercise 9.3 Exercise 9.4 Exercise 9.5 MCQ
Related Study	NCERT Solutions for Class 10 Maths

Exercise 9.1 Solutions

1. Write the first terms of each of the following sequences whose n th term are 
(i) a_n = 3n + 2
(ii) a_n = (n - 2)/3 
(iii) a_n = 3ⁿ .
(iv) a_n = (3n - 2)/5
(v) a_n = (-1)ⁿ 2ⁿ 
(vi) a_n = n(n - 2)/2 
(vii) a_n = n² - n + 1
(viii) a_n = n² - n + 1 
(ix) a_n = (2n - 3)/6 

Solution

We have to write first five terms of given sequences 

2. Find the indicated terms in each of the following sequences whose nth terms are:
(i)  a_n = 5n - 4;  a₁₂ and  a₁₅
(ii)  a_n = (3n - 2)/(4n + 5);  a₇ and  a₈
(iii)  a_n = n(n-1)(n-2);  a₅ and  a₈
(iv)  a_n = (n - 1)(2 - n)(3 + n);  a₁₁  a₂₁  a₃
(v)  a_n = (-1)ⁿ n;  a₃ , a₅ , a₈

Solution

We have to find the required term of a sequence when nth term of that sequence is given. 

3. Find the next five terms of each of the following sequences given by: 
(i) a₁ = 1,  a_n = a_{n - 1} + 2, n ≥ 2 
(ii) a₁ = a₂ = 2 , a_n = a_{n - 1} - 3, n > 2 
(iii) a₁ = -1,  a_n = (a_{n - 1} )/n , n ≥ 2 
(iv) a₁ = 4,  a_n = 4 a_{n - 1} + 3, n > 1

Solution

We have to find next five terms of following sequences.