Complete solutions of Ex 5.1 Class 10 Maths Chapter 5 with additional questions and answers from new NCERT syllabus textbook Class 10 Maths.
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1.
- Arithmetic Progressions Class 10 Ex 5.1
- Arithmetic Progressions Class 10 Ex 5.2
- Arithmetic Progressions Class 10 Ex 5.3
- Arithmetic Progressions Class 10 Ex 5.4
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 10 |
| Subject | Maths |
| Chapter | Chapter 5 |
| Chapter Name | Arithmetic Progressions |
| Exercise | Ex 5.1 |
| Number of Questions Solved | 4 |
| Category | NCERT Solutions |
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
Ex 5.1 Class 10 Maths 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 \(\frac { 1 }{ 4 }\) 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.
You can also Download NCERT Solutions for class 10 Maths in Hindi to help you to revise complete Syllabus and score more marks in your examinations.
Solution:
Ex 5.1 Class 10 Maths 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 = \(\frac { 1 }{ 2 }\)
(v) a = -1.25, d = -0.25
Solution:
Ex 5.1 Class 10 Maths 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) \(\frac { 1 }{ 3 }\) , \(\frac { 5 }{ 3 }\) , \(\frac { 9 }{ 3 }\), \(\frac { 13 }{ 3 }\) , ……..
(iv) 0.6, 1.7, 2.8, 3.9, …….
Solution:
let a be the first item and d the common difference, then:
Ex 5.1 Class 10 Maths 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, \(\frac { 5 }{ 2 }\) , 3, \(\frac { 7 }{ 2 }\) , …….
(iii) -1.2, -3.2, -5.2, -7.2, ……
(iv) -10, -6, -2,2, …..
(v) 3, 3 + \(\sqrt { 2 } \), 3 + 2\(\sqrt { 2 } \), 3 + 3\(\sqrt { 2 } \), …..
(vi) 0.2, 0.22, 0.222, 0.2222, ……
(vii) 0, -4, -8, -12, …..
(viii) \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , \(\frac { -1 }{ 2 }\) , …….
(ix) 1, 3, 9, 27, …….
(x) a, 2a, 3a, 4a, …….
(xi) a, a2, a3, a4, …….
(xii) \(\sqrt { 2 } \), \(\sqrt { 8 } \), \(\sqrt { 18 } \), \(\sqrt { 32 } \), …..
(xiii) \(\sqrt { 3 } \), \(\sqrt { 6 } \), \(\sqrt { 9 } \), \(\sqrt { 12 } \), …..
(xiv) 12, 32, 52, 72, ……
(xv) 12, 52, 72, 73, ……
Solution:
We hope the NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1, drop a comment below and we will get back to you at the earliest.