Sequences and Series Practice Questions

Class 11 · Mathematics · 350 free MCQs with instant results and detailed explanations.

350

Total

173

Easy

124

Medium

Hard

Start Practicing Sequences and Series

Take a timed quiz or customize your practice session

Quick Quiz (10 Qs) → Mock Test (25 Qs) ⚙ Customize

Topics in Sequences and Series

Sum of n Terms 72

GP 88

Arithmetic and Geometric Means 102

AP 88

Sample Questions from Sequences and Series

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

What is the common difference in the arithmetic progression (AP) 2, 5, 8, 11?

A. 3

B. 4

C. 5

D. 2

Show Answer & Explanation

Correct Answer: A

In an AP, the common difference is found by subtracting any term from the subsequent term. Here, 5 - 2 = 3.

Easy

In an AP, if the first term is 'a' and the common difference is 'd', what is the 6th term?

A. a + 5d

B. a + 4d

C. a + 6d

D. a + 3d

Show Answer & Explanation

Correct Answer: A

The 6th term can be expressed using the formula T_6 = a + (6-1)d = a + 5d.

Easy

What is the common difference in the arithmetic progression (AP) 12, 8, 4, 0?

A. -4

B. 4

C. 8

D. -8

Show Answer & Explanation

Correct Answer: A

The common difference is found by subtracting consecutive terms. 8 - 12 = -4.

Medium

Which of the following sequences is an arithmetic progression?

A. 1, 2, 4, 8

B. 3, 7, 11, 15

C. 2, 4, 8, 16

D. 5, 5, 5, 5

Show Answer & Explanation

Correct Answer: B

An arithmetic progression has a constant difference. Here, 3, 7, 11, 15 has a common difference of 4.

Medium

What is the formula for the sum of the first n terms of an arithmetic progression?

A. Sn = n/2 (2a + (n-1)d)

B. Sn = n (a + l)

C. Sn = n/2 (a + l)

D. Sn = n^2 + d

Show Answer & Explanation

Correct Answer: A

The formula Sn = n/2 (2a + (n-1)d) represents the sum of the first n terms, where a = first term, d = common difference.

Medium

In an arithmetic progression, if the first term is 12 and the common difference is 3, what is the 15th term?

A. 54

B. 45

C. 36

D. 27

Show Answer & Explanation

Correct Answer: A

Using Tn = a + (n-1)d, T15 = 12 + (15-1)*3 = 54.

Medium

If the first term of an AP is a and the common difference is d, what is the expression for the sum of the first n terms?

A. n/2 * (2a + (n-1)d)

B. n * (a + d)

C. n/2 * (a + d)

D. a * n + d * (n-1)

Show Answer & Explanation

Correct Answer: A

The formula for the sum of the first n terms of an AP is S_n = n/2 * (2a + (n-1)d).

Hard

If three consecutive terms of an AP are x, x+4, and x+8, what is the common difference?

A. 2

B. 4

C. 6

D. 8

Show Answer & Explanation

Correct Answer: A

The common difference can be found by subtracting the first term from the second term or the second term from the third term.

Hard

In an AP, if the 2nd term is 10 and the 5th term is 16, what is the common difference?

A. 1

B. 2

C. 3

D. 4

Show Answer & Explanation

Correct Answer: B

Use the difference between the terms to establish an equation and solve for the common difference.

Q10

Hard

In an AP, if the first term is x and the common difference is y, what is the expression for the nth term?

A. x + (n-1)y

B. xy + n

C. xy - (n-1)

D. x(ny)

Show Answer & Explanation

Correct Answer: A

The nth term of an AP is given by the formula a_n = a + (n-1)d, where a is the first term and d is the common difference.

Showing 10 of 350 questions. Start a quiz to practice all questions with scoring and timer.

Practice All 350 Questions →

More Mathematics Chapters

1 Sets

1518 Qs →

2 Relations and Functions

1522 Qs →

3 Trigonometric Functions

1330 Qs →

4 Principle of Mathematical Induction

2812 Qs →

5 Complex Numbers and Quadratic Equations

1122 Qs →

6 Linear Inequalities

1171 Qs →

7 Permutations and Combinations

541 Qs →

8 Binomial Theorem

524 Qs →

Other Class 11 Subjects

⚡ Physics → ⚗️ Chemistry → 🧬 Biology →

Sequences and Series — Class 11 Mathematics Practice Questions Online

This page contains 350 practice MCQs for the chapter Sequences and Series in Class 11 Mathematics. The questions are organized by difficulty — 173 easy, 124 medium, 53 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.