3 Questions of 1 mark each will come from SEBA Class 10 Maths Chapter 5 MCQ (Arithmetic Progressions). Arithmetic Progressions is an important chapter not only in Class 10 but it has immense application afterwards.

So, we have prepared 10 important MCQ Questions from SEBA Class 10 Maths Chapter 5 MCQ Arithmetic Progressions. Before that, we will provide a detailed syllabus and topics of Arithmetic Progressions prescribed by SEBA for Class 10. Moreover, we have provided mark distribution of SEBA Class 10 Chapter 5 Arithmetic Progressions.

## SYLLABUS OF SEBA CLASS 10 MATHS CHAPTER 5 MCQ (ARITHMETIC PROGRESSIONS)

First let us know the syllabus of SEBA Class 10 Maths Chapter 5 – Arithmetic Progressions.

- Motivation for studying Arithmetic Progression
- Derivation of the nth term and sum of the first n terms of A.P.
- Application of A.P in solving daily life problems.

## TOPICS COVERED UNDER SEBA CLASS 10 MATHS CHAPTER 5 MCQ (ARITHMETIC PROGRESSIONS)

The SCERT Maths textbook for Class 10 has the following topics in Chapter 5 – Arithmetic Progressions.

- 5.1 Introduction
- 5.2 Arithmetic Progressions
- 5.3 nth Term of an AP
- 5.4 Sum of First n Terms of an AP

There are 4 exercises covering the above topics including optional exercise. The solution of Chapter 5 exercises can be found in this link.

## SEBA CLASS 10 MATHS CHAPTER 5 MCQ (ARITHMETIC PROGRESSIONS)

An arithmetic progression (AP) is a sequence of numbers in which the difference between a number and the next one (i.e consecutive numbers) is always the same.

The 1st term or number of AP is donated by a and the number of terms by n. This difference or common difference is usually denoted by the letter d.

For example, the sequence 1, 3, 5, 7, 9 is an arithmetic progression with a common difference of 2. The 1st term is 1 and the number of terms is 5.

The nth term of an arithmetic progression with first term a and common difference d is given by the formula:

a_{n} = a + (n-1)d

The sum of n terms of an arithmetic progression is given by:

S_{n} = n/2 * (2a + (n-1)d)

If l is the last term of the finite AP, say the nth term, then the sum of all terms of the AP

is given by :

S_{n} = n/2 * (a + l)

Some of the important properties of arithmetic progressions are:

- The product of the first and last term of an arithmetic progression is given by:
- a * l = a*(a + (n-1)d)
- The sum of an arithmetic progression is infinite if the common difference is a fraction.

## MARKS DISTRIBUTION OF CHAPTER 5 MCQ (ARITHMETIC PROGRESSIONS)

Exactly 50% of marks in SEBA Class 10 HSLC Examination is assigned for MCQ and Very Short Answer (VSA) Questions.

Four (5) types of questions or question format will be asked from Class 10 Maths Chapter 5 Arithmetic Progressions as listed below.

- Multiple Choice Questions (MCQ) – 1 Marks each
- Very Short Answer (VSA) – 1 Marks each
- Short Answer Type Questions (SA-II) – 3 Marks each

These questions of this chapter will be based on knowledge and understanding. 3 MCQ of 1 marks each of SEBA Class 10 Maths Chapter 5 MCQ (Arithmetic Progressions) will be asked in SEBA HSLC Examination.

The detail marks distribution is shown in the table below.

Knowledge | Understanding | Application | Skill | Total | |

MCQ/VSA (1 Marks) | 1 x 1 = 1 | 2 x 1= 2 | – | – | 3 |

SA-I (2 Marks) | – | – | – | – | – |

SA-II (3 marks) | – | 3 x 1=3 | – | – | 3 |

LA (5 Marks) | – | – | – | – | – |

Total | 1 | 5 | – | – | 6 |

## SEBA CLASS 10 MATHS CHAPTER 5 MCQ (ARITHMETIC PROGRESSIONS)

- What is the common difference in the arithmetic sequence 3, 7, 11, 15, 19?

a) 2

b) 3

c) 4

d) 5

- In the arithmetic sequence 2, 5, 8, 11, 14, … what is the 30th term?

a) 87

b) 88

c) 89

d) 90

- In the arithmetic sequence 2, 5, 8, 11, 14, … what is the sum of the first 20 terms?

a) 380

b) 385

c) 390

d) 395

- In the arithmetic sequence -4, -1, 2, 5, 8, … what is the 50th term?

a) 197

b) 198

c) 199

d) 200

- The 4th term from the end of the AP: –11, –8, –5, …, 49 is

a) 37

b) 40

c) 43

d) 58

- If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th

term will be

a) 7

b) 11

c) 18

d) 0

- Two APs have the same common difference. The first term of one of these is

–1 and that of the other is – 8. Then the difference between their 4th terms is

a) -1

b) -8

c) 7

d) -9

- In an AP if a = –7.2, d = 3.6, a
_{n}= 7.2, then n is

a)1

b) 3

c) 4

d) 5

- In an AP if a = 1, a
_{n}= 20 and S_{n}= 399, then n is

a)19

b) 21

c) 38

d) 42

- The list of numbers – 10, – 6, – 2, 2,… is

(a) an AP with d = – 16

(b) an AP with d = 4

(c) an AP with d = – 4

(d) not an AP

## SEBA CLASS 10 MATHS MCQ PDF

The SEBA Class 10 Maths Chapter 3 MCQ PDF is given below

- Class 10 Chapter 1 MCQ – Real Numbers
- Class 10 Chapter 2 MCQ – Polynomials
- Class 10 Chapter 3 MCQ – Linear Equations in 2 Variables
- Class 10 Chapter 4 MCQ – Quadratic Equations.
- Class 10 Chapter 5 MCQ – Arithmetic Progressions.

More chapters will be added in this list. So, keep visiting www.guwahatilive.com Education Section

## FREQUENTLY ASKED QUESTIONS

**What are arithmetic progressions Class 10?**

An arithmetic progression (AP) is a sequence of numbers in which the difference between a number and the next one (i.e consecutive numbers) is always the same.

The 1st term or number of AP is donated by a and the number of terms by n. This difference or common difference is usually denoted by the letter d.

**What is arithmetic progression Class 10 with an example?**

An arithmetic progression (AP) is a sequence of numbers in which the difference between a number and the next one (i.e consecutive numbers) is always the same.

The 1st term or number of AP is donated by a and the number of terms by n. This difference or common difference is usually denoted by the letter d.

For example, the sequence 1, 3, 5, 7, 9 is an arithmetic progression with a common difference of 2. The 1st term is 1 and the number of terms is 5.

**Is arithmetic progression in syllabus class 10?**

Yes, arithmetic progression in syllabus class 10.

3 Questions of 1 mark each will come from SEBA Class 10 Maths Chapter 5 MCQ (Arithmetic Progressions). Arithmetic Progressions is an important chapter not only in Class 10 but it has immense application afterwards.

## CONCLUSION

We have prepared 10 important MCQ Questions from SEBA Class 10 Maths Chapter 5 Arithmetic Progressions. We have also provided detailed syllabus and topics of Chapter 5 Arithmetic Progressions prescribed by SEBA for Class 10. Moreover, we have also provided mark distribution of SEBA Class 10 Chapter 5.