Chapter Exam

Chapter-8 Sequences and Series — Online MCQ Test

Q: What is the common difference in the arithmetic progression 5, 8, 11, 14, ...?

Answer: A. 3 — The common difference (d) is the difference between consecutive terms: 8 - 5 = 3.

Q: The general term of an AP is given by which formula?

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

Q: Find the 5th term of the AP: 3, 7, 11, 15, ...

Answer: B. 19 — Using an = a + (n-1)d: a5 = 3 + (5-1)×4 = 3 + 16 = 19.

Q: An AP has 50 terms with first term 2 and last term 101. What is the sum?

Answer: B. 2550 — Sn = n(a + l)/2 = 50(2 + 101)/2 = 50(103)/2 = 2550.

Q: In a GP, if the product of 1st and 5th terms is 64, and the product of 2nd and 4th terms is also 64, what can be said about the 3rd term?

Answer: C. It must be ±8 — In a GP, a1 × a5 = a3² (since a1 × a5 = (a/r⁴) × (ar⁴) = a² and a2 × a4 = a3² = 64). Therefore a3 = ±8.

MATHS · CLASS 11 FIRST PUC · Karnataka State Board

Practice Chapter-8 Sequences and Series with a free chapter-wise online MCQ test for Karnataka State Board CLASS 11 FIRST PUC MATHS. This chapter covers: Arithmetic Progression (AP) - Geometric Progression (GP) - Common ratio - General term (an) - Sum of n terms (Sn) - Infinite GP - Arithmetic Mean (AM) - Geometric Mean (GM). AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter-8 Sequences and Series — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 11 FIRST PUC MATHS — Chapter-8 Sequences and Series, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the common difference in the arithmetic progression 5, 8, 11, 14, ...?

A. 3 ✓
B. 5
C. 2
D. 4

Answer: A. 3
The common difference (d) is the difference between consecutive terms: 8 - 5 = 3.

The general term of an AP is given by which formula?

A. an = a + (n-1)d ✓
B. an = a + nd
C. an = a × r^(n-1)
D. an = a + d

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

Find the 5th term of the AP: 3, 7, 11, 15, ...

A. 17
B. 19 ✓
C. 21
D. 23

Answer: B. 19
Using an = a + (n-1)d: a5 = 3 + (5-1)×4 = 3 + 16 = 19.

An AP has 50 terms with first term 2 and last term 101. What is the sum?

A. 2500
B. 2550 ✓
C. 2600
D. 2650

Answer: B. 2550
Sn = n(a + l)/2 = 50(2 + 101)/2 = 50(103)/2 = 2550.

In a GP, if the product of 1st and 5th terms is 64, and the product of 2nd and 4th terms is also 64, what can be said about the 3rd term?

A. It is 8
B. It is 16
C. It must be ±8 ✓
D. It cannot be determined

Answer: C. It must be ±8
In a GP, a1 × a5 = a3² (since a1 × a5 = (a/r⁴) × (ar⁴) = a² and a2 × a4 = a3² = 64). Therefore a3 = ±8.

Choose Your Plan & Start Practising

All plans cover every subject and chapter of your registered grade.

Free

₹0

3 exams · 1 year

Start Free →

Active

₹350

12 exams · 1 year

Get Active →

Pro

₹899

Unlimited exams · 1 year

Get Pro →

Compare all plans in detail →