Mathematics Questions and Answers – Sequences

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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.
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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) an = an-1 + an-2
b) an-1 = an + an-2
c) an-2 = an + an-1
d) an = an+1 + an-2
View Answer

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

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

Answer: d
Explanation: an = 4n+6 and n=15
=>a15 = 4*15 + 6 = 60+6 = 66.
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10. a1 = a2 = 2, an = an – 1–1, n > 2. Find a5.
a) 2
b) -1
c) 1
d) 0
View Answer

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

Sanfoundry Global Education & Learning Series – Mathematics – Class 11.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter