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CBSE
Class 10
Mathematics
Mathematics
Arithmetic Progressions
Question Bank

Question Bank - Arithmetic Progressions

Practice Hub

Question Bank: Arithmetic Progressions

Structured practice

Question Bank - Arithmetic Progressions

Q1.

What is an arithmetic progression (AP)?

Single Answer MCQ
Q-00173872
View explanation
Q2.

What is the common difference in the AP: 5, 10, 15, 20, ...?

Single Answer MCQ
Q-00173873
View explanation
Q3.

If the first term of an AP is 8 and the common difference is -2, what is the 4th term?

Single Answer MCQ
Q-00173875
View explanation
Q4.

In the sequence 30, 25, 20, ..., what is the common difference?

Single Answer MCQ
Q-00173877
View explanation
Q5.

Which of the following is NOT an arithmetic progression?

Single Answer MCQ
Q-00173879
View explanation
Q6.

If a = 12 and d = -3, what are the first four terms of the AP?

Single Answer MCQ
Q-00173881
View explanation
Q7.

What is the 5th term of the AP defined by a = 4 and d = 2?

Single Answer MCQ
Q-00173883
View explanation
Q8.

Which sequence can be classified as a finite AP?

Single Answer MCQ
Q-00173885
View explanation
Q9.

If the sequence is 7, 14, 21, 28, ..., which is the term number of 28?

Single Answer MCQ
Q-00173887
View explanation
Q10.

In the AP 11, 9, 7, 5, ..., what is the last term after 4 terms?

Single Answer MCQ
Q-00173889
View explanation
Q11.

Calculate the common difference for the AP: 1/2, 1, 3/2, ...

Single Answer MCQ
Q-00173891
View explanation
Q12.

To find d in an arithmetic progression, what operation should you perform?

Single Answer MCQ
Q-00173893
View explanation
Q13.

If the first term of an arithmetic progression is 5 and the common difference is 2, what is the 6th term?

Single Answer MCQ
Q-00173896
View explanation
Q14.

A gardener plants a tree that grows 3 cm taller every month. If the height of the tree after 1 month is 30 cm, what will be its height after 5 months?

Single Answer MCQ
Q-00173897
View explanation
Q15.

If the sum of the first 5 terms of an arithmetic progression is 50, what is the common difference if the first term is 6?

Single Answer MCQ
Q-00173898
View explanation
Q16.

What is the 8th term of the arithmetic progression: 4, 9, 14, ...?

Single Answer MCQ
Q-00173899
View explanation
Q17.

A sequence of numbers is given as 2, 5, 8, 11, ..., determine the sum of the first 10 terms.

Single Answer MCQ
Q-00173900
View explanation
Q18.

Which of the following sequences is an arithmetic progression?

Single Answer MCQ
Q-00173901
View explanation
Q19.

For the arithmetic progression: 7, 10, 13, ..., what is the 15th term?

Single Answer MCQ
Q-00173902
View explanation
Q20.

If an arithmetic progression has a first term of -2 and a common difference of -3, which of the following represents its 4th term?

Single Answer MCQ
Q-00173903
View explanation
Q21.

What is the common difference of the arithmetic progression defined by the terms 21, 17, 13 ...?

Single Answer MCQ
Q-00173904
View explanation
Q22.

The sum of the first n terms of an arithmetic sequence is represented by the formula S_n = n/2 * (2a + (n-1)d). If a=5 and d=3, what is the sum of the first 4 terms?

Single Answer MCQ
Q-00173905
View explanation
Q23.

A student saves ₹100 in the first month and increases his savings by ₹50 each subsequent month. How much will he have saved at the end of the 6th month?

Single Answer MCQ
Q-00173906
View explanation
Q24.

Which of the following arithmetic progressions has a common difference of 0?

Single Answer MCQ
Q-00173907
View explanation
Q25.

If the first term of an AP is 4 and the common difference is 2, what is the 10th term?

Single Answer MCQ
Q-00173908
View explanation
Q26.

An arithmetic progression starts at 10 and decreases by 1 each term. What is the 15th term?

Single Answer MCQ
Q-00173909
View explanation
Q27.

What defines an arithmetic progression (AP)?

Single Answer MCQ
Q-00173910
View explanation
Q28.

In the arithmetic progression 4, 7, 10, what is the common difference?

Single Answer MCQ
Q-00173911
View explanation
Q29.

Which of the following sequences is an arithmetic progression?

Single Answer MCQ
Q-00173912
View explanation
Q30.

What is the 5th term of the AP that starts with 3 and has a common difference of 2?

Single Answer MCQ
Q-00173913
View explanation
Q31.

If the first term of an AP is 10 and the common difference is -5, what is the 4th term?

Single Answer MCQ
Q-00173914
View explanation
Q32.

Which of the following is the common difference of the AP: 8, 2, -4?

Single Answer MCQ
Q-00173915
View explanation
Q33.

In an arithmetic progression, if the first term is 5 and the common difference is 3, what is the expression for the nth term?

Single Answer MCQ
Q-00173916
View explanation
Q34.

Which of the following sequences is NOT an AP?

Single Answer MCQ
Q-00173917
View explanation
Q35.

The first term of an AP is 12 and the last term is 48. If there are 5 terms in total, what is the common difference?

Single Answer MCQ
Q-00173918
View explanation
Q36.

If the common difference of an AP is 0, what can we conclude about the terms?

Single Answer MCQ
Q-00173919
View explanation
Q37.

For the AP 5, 8, 11, ..., if the 10th term is required, how would you find it?

Single Answer MCQ
Q-00173920
View explanation
Q38.

In a savings account, if you deposit ₹100 a month starting with ₹500, what is the balance after 5 months?

Single Answer MCQ
Q-00173921
View explanation
Q39.

What is the 5th term of the arithmetic progression 2, 5, 8, ...?

Single Answer MCQ
Q-00173922
View explanation
Q40.

If an arithmetic progression has a first term of 10 and a common difference of -2, what is the 8th term?

Single Answer MCQ
Q-00173923
View explanation
Q41.

Identify the common difference in the sequence: 7, 10, 13, ...

Single Answer MCQ
Q-00173924
View explanation
Q42.

In the arithmetic progression 15, 25, 35, ..., what is the value of the 10th term?

Single Answer MCQ
Q-00173925
View explanation
Q43.

If the 3rd term of an AP is 20 and the common difference is 5, what is the first term?

Single Answer MCQ
Q-00173926
View explanation
Q44.

Which of the following sequences is an arithmetic progression?

Single Answer MCQ
Q-00173927
View explanation
Q45.

What is the common difference of the arithmetic progression: 8, 5, 2, -1 ...?

Single Answer MCQ
Q-00173928
View explanation
Q46.

Calculate the 12th term of the AP: 4, 9, 14, ...

Single Answer MCQ
Q-00173929
View explanation
Q47.

If the first term of an AP is 3 and the common difference is 2, what is the 100th term?

Single Answer MCQ
Q-00173930
View explanation
Q48.

From the AP: -2, 1, 4, 7, what is the value of the common difference?

Single Answer MCQ
Q-00173931
View explanation
Q49.

What is the first term of the arithmetic sequence defined by the equation a_n = 5 + (n-1) * 3?

Single Answer MCQ
Q-00173932
View explanation
Q50.

Which of these options must NOT be a characteristic of arithmetic progressions?

Single Answer MCQ
Q-00173933
View explanation
Q51.

If the AP starts from a = 2 and increases by d = 2, what is the 15th term?

Single Answer MCQ
Q-00173934
View explanation
Q52.

In the arithmetic progression 10, 12, 14, ..., what is the 20th term?

Single Answer MCQ
Q-00173935
View explanation
Q53.

What is the formula to find the nth term of an AP?

Single Answer MCQ
Q-00173936
View explanation
Q54.

What is the common difference for the sequence: -2, -5, -8, ...?

Single Answer MCQ
Q-00173937
View explanation
Q55.

What is the common difference of the AP: 5, 8, 11, 14?

Single Answer MCQ
Q-00173938
View explanation
Q56.

If the first term of an AP is 10 and the common difference is 5, what is the 4th term?

Single Answer MCQ
Q-00173939
View explanation
Q57.

Calculate the sum of the first 5 terms of the AP: 2, 6, 10, 14.

Single Answer MCQ
Q-00173940
View explanation
Q58.

In the AP where the first term is 3 and the common difference is -3, what is the 6th term?

Single Answer MCQ
Q-00173941
View explanation
Q59.

An AP starts with 4 and has a common difference of 2. What are the first four terms of the AP?

Single Answer MCQ
Q-00173942
View explanation
Q60.

Which of the following sequences is NOT an AP? 1, 3, 5, 7; 2, 4, 8, 16; 5, 10, 15, 20.

Single Answer MCQ
Q-00173943
View explanation
Q61.

What is the sum of the first 10 terms of the arithmetic progression: 1, 4, 7, 10?

Single Answer MCQ
Q-00173944
View explanation
Q62.

If the sum of the first n terms of an AP is 3n^2 + 5n, what is the common difference?

Single Answer MCQ
Q-00173945
View explanation
Q63.

A student saves ₹200 each month. If he started with ₹500, what is the total amount saved after 10 months?

Single Answer MCQ
Q-00173946
View explanation
Q64.

Which formula represents the sum of the first n terms of an arithmetic progression?

Single Answer MCQ
Q-00173947
View explanation
Q65.

An arithmetic sequence has the first term 6 and common difference -2. What is the 7th term?

Single Answer MCQ
Q-00173948
View explanation
Q66.

From the AP: 4, 6, 8, 10, find the 10th term.

Single Answer MCQ
Q-00173949
View explanation
Q67.

The sum of the first n odd numbers is expressed as 1 + 3 + 5 + ... + (2n-1). What is this sum equal to?

Single Answer MCQ
Q-00173950
View explanation
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