Class 11 Maths Chapter 9 Sequences and Series MCQ

This set of Class 11 Maths Chapter 9 Multiple Choice Questions & Answers (MCQs) focuses on “Sequences and Series”. These MCQs are created based on the latest CBSE syllabus and the NCERT curriculum, offering valuable assistance for exam preparation.

1. Sequence is same as progression.
a) True
b) False
View Answer

Answer: b
Explanation: Sequence and progression are different things. When sequence follow a specified pattern, it is said to be a progression.

2. Complete 2,3,5,7, _____________
a) 8
b) 9
c) 10
d) 11
View Answer

Answer: d
Explanation: Since 2,3,5 and 7 all are consecutive prime numbers so, it is a sequence of prime numbers. Prime number next to 7 is 11. So, 2,3,5,7,11.

3. Complete 2, 4, 6, 8, _____________
a) 10
b) 9
c) 13
d) 11
View Answer

Answer: a
Explanation: Since 2,4,6 and 8 are even numbers so it is a sequence of even numbers. Even number next to 8 is 10. So, 2,4,6,8,10.

4. Which of the following is finite sequence?
a) 48,24,12, ………….
b) 1,2,3, …………
c) 2,4,6,8,10
d) 2,3,5,7,11,13, ……………………
View Answer

Answer: c
Explanation: Since sequence 2,4,6,8,10 contains limited number of terms so, it is finite sequence. Rest all are infinite sequences.

5. Which of the following relation gives Fibonacci sequence?
a) a_n = a_n-1 + a_n-2
b) a_n-1 = a_n + a_n-2
c) a_n-2 = a_n + a_n-1
d) a_n = a_n+1 + a_n-2
View Answer

Answer: a
Explanation: a_n = a_n-1 + a_n-2, n>2.
This is a recurrence relation which gives Fibonacci sequence.

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6. 1,1,2,3,5, ………… is a Fibonacci Sequence.
a) True
b) False
View Answer

Answer: a
Explanation: Yes, 1,1,2,3,5, ………… is a Fibonacci Sequence because it follows the recurrence relation
a_n = a_n-1 + a_n-2, n>2.

7. What is the first term of Fibonacci sequence?
a) 0
b) 1
c) 2
d) 3
View Answer

Answer: b
Explanation: a₁=1 and a₂=1.
a_n = a_n-1 + a_n-2, n>2.
This is a recurrence relation which gives the Fibonacci sequence.

8. What is the third term of Fibonacci sequence?
a) 0
b) 1
c) 2
d) 3
View Answer

Answer: c
Explanation: a₁=1 and a₂=1.
a_n = a_n-1 + a_n-2, n>2.
This is a recurrence relation which gives Fibonacci sequence.
=>a₃=a₁+a₂=1+1=2.

9. If a_n = 4n+6, find 15^th term of the sequence.
a) 6
b) 10
c) 60
d) 66
View Answer

Answer: d
Explanation: a_n = 4n+6 and n=15
=>a₁₅ = 4*15 + 6 = 60+6 = 66.

10. a₁ = a₂ = 2, a_n = a_n – 1–1, n > 2. Find a₅.
a) 2
b) -1
c) 1
d) 0
View Answer

Answer: b
Explanation: a_n = a_n – 1–1, n > 2
=> a₃ = a₂ – 1 = 2 – 1 = 1
=> a₄ = a₃ – 1 = 1 – 1 = 0
=> a₅ = a₄ – 1 = 0 – 1 = -1.

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