Sequences - Mathematics Questions and Answers

This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Sequences”.

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.

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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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