NCERT Class 10 Maths Chapter 5 Online Test – Arithmetic Progressions (50 MCQs) | Board Exam 2026

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NCERT Class 10 Mathematics – Chapter 5: Arithmetic Progressions

Board Exam 2026 focused online test strictly based on NCERT textbook.

An AP has a constant common difference.
First term is denoted by a.
Common difference is denoted by d.
nᵗʰ term: a_n = a + (n − 1)d.
AP can be increasing, decreasing or constant.

Q1. An arithmetic progression is a sequence in which:

Difference of consecutive terms is constant

Ratio of consecutive terms is constant

Terms are random

Squares increase

Definition of AP.

Q2. The common difference of 3, 7, 11, 15 is:

7−3=4.

Q3. The first term of AP: −5, −2, 1, 4 is:

−2

−5

First term is −5.

Q4. The formula for nᵗʰ term of an AP is:

a + nd

a − nd

a + d

a + (n − 1)d

NCERT formula.

Q5. The AP 6, 6, 6, 6 has common difference:

−6

Constant AP.

Q6. Which of the following is an AP?

2, 4, 8, 16

5, 9, 13, 17

1, 4, 9, 16

3, 6, 12, 24

Common difference 4.

Q7. If a=1, d=2, then a₁₀ equals:

a₁₀=1+9×2=19.

Q8. If d<0, the AP is:

Increasing

Constant

Random

Decreasing

Negative difference.

Q9. Which AP has d=3?

2, 5, 8, 11

1, 4, 9, 16

3, 6, 12

5, 10, 20

Difference 3.

Q10. The value of d for AP: 20, 17, 14 is:

−3

−6

17−20=−3.

Q11. Which AP has first term 4 and d=0?

4,5,6

4,6,8

4,4,4

0,4,8

d=0 gives constant AP.

Q12. The 5ᵗʰ term of AP: 3,7,11,… is:

a₅=3+4×4=19.

Q13. Which of the following is NOT an AP?

2, 4, 8, 16

1, 3, 5, 7

10, 7, 4, 1

6, 6, 6

Geometric sequence.

Q14. The value of a₁ for AP is called:

Common difference

First term

Last term

Middle term

Definition.

Q15. If a=2, d=5, find a₆:

2+5×5=27.

Q16. If d=0, AP is:

Increasing

Decreasing

Random

Constant

All terms equal.

Q17. Which AP is decreasing?

10, 7, 4, 1

1, 2, 3

5, 5, 5

2, 4, 6

d negative.

Q18. The 1st term of AP: 7n−3 is:

−3

Put n=1.

Q19. Which term formula is correct?

a+(n+1)d

a−(n−1)d

a+(n−1)d

a+nd

Standard formula.

Q20. The AP of odd numbers is:

1,2,3

2,4,6

3,6,9

1,3,5

Odd numbers.

Q21. If a=10 and d=−2, the AP is:

10,8,6,…

10,12,14

10,10,10

10,9,8

Subtract 2.

Q22. The common difference of 1,4,7,10 is:

Difference 3.

Q23. If d>0, AP is:

Constant

Decreasing

Increasing

Random

Positive d.

Q24. The AP of even numbers is:

1,3,5

3,6,9

2,3,4

2,4,6

Even numbers.

Q25. a₁ of AP: 5n+2 is:

n=1.

Q26. Which AP has d=−4?

1,5,9

12,8,4

3,7,11

2,2,2

Difference −4.

Q27. The 8ᵗʰ term of AP: 2,5,8 is:

2+7×3=23.

Q28. If d=0, number of distinct terms is:

Infinite

Two

Zero

One

All same.

Q29. Which AP is infinite?

2,4,6,…

2,4,6,8

5,5,5

1,3,5

Infinite terms.

Q30. The nth term formula is used to:

Find sum

Find any term

Find d only

Find a only

Purpose of formula.

Q31. If a=0, d=7, AP is:

7,14,21

0,14,28

0,7,14

7,7,7

Starts at 0.

Q32. Which sequence is constant?

1,2,3

3,6,9

5,10,15

4,4,4

d=0.

Q33. If d<0, terms:

Decrease

Increase

Remain same

Disappear

Negative difference.

Q34. a₄ of AP: 3n is:

n=4.

Q35. Which AP has a=1, d=1?

2,3,4

0,1,2

1,2,3

1,1,1

Natural numbers.

Q36. If a=5 and d=5, AP is:

5,10,20

5,5,5

10,15,20

5,10,15

Add 5.

Q37. The AP of multiples of 4 is:

4,8,12

1,4,7

2,6,10

5,10,15

Multiples of 4.

Q38. The 3ᵗʰ term of AP: 7,14,21 is:

Third term.

Q39. Which AP has negative d?

1,2,3

5,10,15

10,7,4

2,4,6

10→7→4.

Q40. a₂ of AP: 2n+1 is:

n=2.

Q41. Which is an increasing AP?

1,4,7

9,6,3

5,5,5

10,8,6

Positive d.

Q42. The value of d for 100, 90, 80 is:

−10

−20

Decrease by 10.

Q43. a_n depends on:

Only a

Only d

a, d and n

Only n

Formula variables.

Q44. The AP of natural numbers is:

0,1,2

2,3,4

5,6,7

1,2,3

Natural numbers.

Q45. If a=−2, d=3, AP is:

−2,1,4

−2,−5,−8

1,4,7

−2,3,8

Add 3.

Q46. The AP with all equal terms has d:

−1

Constant AP.

Q47. a₅ of AP: 4n−1 is:

n=5.

Q48. Which AP is finite?

2,4,6,…

1,3,5,…

10,20,30,…

2,4,6,8

Finite terms.

Q49. The AP of whole numbers is:

0,1,2

1,2,3

2,3,4

1,3,5

Whole numbers.

Q50. The main aim of this chapter is to:

Find sums only

Understand and find terms of AP

Draw graphs

Solve equations

NCERT objective.

Q1 An arithmetic progression definition. Q2 Common difference of 3,7,11,15. Q3 First term of −5,−2,1,4. Q4 Formula of nth term. Q5 Constant AP. Q6 Identifying AP. Q7 10th term calculation. Q8 Decreasing AP. Q9 AP with d=3. Q10 Common difference negative. Q11 AP with d=0. Q12 5th term. Q13 Not an AP. Q14 First term meaning. Q15 nth term calculation. Q16 Constant AP. Q17 Decreasing AP. Q18 First term from formula. Q19 Correct nth term formula. Q20 AP of odd numbers. Q21 AP with negative d. Q22 Common difference. Q23 Increasing AP. Q24 AP of even numbers. Q25 First term from formula. Q26 AP with negative d. Q27 8th term. Q28 Constant AP. Q29 Infinite AP. Q30 Use of nth term. Q31 AP starting from zero. Q32 Constant sequence. Q33 Effect of negative d. Q34 nth term value. Q35 AP with a=1,d=1. Q36 AP with a=5,d=5. Q37 Multiples of 4. Q38 3rd term. Q39 Negative d AP. Q40 nth term value. Q41 Increasing AP. Q42 Common difference. Q43 Dependence of a_n. Q44 Natural numbers AP. Q45 AP with negative a. Q46 Constant AP. Q47 nth term. Q48 Finite AP. Q49 Whole numbers AP. Q50 Aim of chapter.

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NCERT Class 10 Maths Chapter 5 Online Test – Arithmetic Progressions (50 MCQs) | Board Exam 2026

NCERT Class 10 Mathematics – Chapter 5: Arithmetic Progressions

Q1. An arithmetic progression is a sequence in which:

Q2. The common difference of 3, 7, 11, 15 is:

Q3. The first term of AP: −5, −2, 1, 4 is:

Q4. The formula for nᵗʰ term of an AP is:

Q5. The AP 6, 6, 6, 6 has common difference:

Q6. Which of the following is an AP?

Q7. If a=1, d=2, then a10 equals:

Q8. If d<0, the AP is:

Q9. Which AP has d=3?

Q10. The value of d for AP: 20, 17, 14 is:

Q11. Which AP has first term 4 and d=0?

Q12. The 5ᵗʰ term of AP: 3,7,11,… is:

Q13. Which of the following is NOT an AP?

Q14. The value of a1 for AP is called:

Q15. If a=2, d=5, find a6:

Q16. If d=0, AP is:

Q17. Which AP is decreasing?

Q18. The 1st term of AP: 7n−3 is:

Q19. Which term formula is correct?

Q20. The AP of odd numbers is:

Q21. If a=10 and d=−2, the AP is:

Q22. The common difference of 1,4,7,10 is:

Q23. If d>0, AP is:

Q24. The AP of even numbers is:

Q25. a1 of AP: 5n+2 is:

Q26. Which AP has d=−4?

Q27. The 8ᵗʰ term of AP: 2,5,8 is:

Q28. If d=0, number of distinct terms is:

Q29. Which AP is infinite?

Q30. The nth term formula is used to:

Q31. If a=0, d=7, AP is:

Q32. Which sequence is constant?

Q33. If d<0, terms:

Q34. a4 of AP: 3n is:

Q35. Which AP has a=1, d=1?

Q36. If a=5 and d=5, AP is:

Q37. The AP of multiples of 4 is:

Q38. The 3ᵗʰ term of AP: 7,14,21 is:

Q39. Which AP has negative d?

Q40. a2 of AP: 2n+1 is:

Q41. Which is an increasing AP?

Q42. The value of d for 100, 90, 80 is:

Q43. an depends on:

Q44. The AP of natural numbers is:

Q45. If a=−2, d=3, AP is:

Q46. The AP with all equal terms has d:

Q47. a5 of AP: 4n−1 is:

Q48. Which AP is finite?

Q49. The AP of whole numbers is:

Q50. The main aim of this chapter is to:

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Q7. If a=1, d=2, then a₁₀ equals:

Q14. The value of a₁ for AP is called:

Q15. If a=2, d=5, find a₆:

Q25. a₁ of AP: 5n+2 is:

Q34. a₄ of AP: 3n is:

Q40. a₂ of AP: 2n+1 is:

Q43. a_n depends on:

Q47. a₅ of AP: 4n−1 is: