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

1. Sequence is same as progression.

a) True

b) False

View Answer

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

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

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

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

Explanation: a

_{n}= a

_{n-1}+ a

_{n-2}, n>2.

This is a recurrence relation which gives Fibonacci sequence.

6. 1,1,2,3,5, ………… is a Fibonacci Sequence.

a) True

b) False

View Answer

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

Explanation: a

_{1}=1 and a

_{2}=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

Explanation: a

_{1}=1 and a

_{2}=1.

a

_{n}= a

_{n-1}+ a

_{n-2}, n>2.

This is a recurrence relation which gives Fibonacci sequence.

=>a

_{3}=a

_{1}+a

_{2}=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

Explanation: a

_{n}= 4n+6 and n=15

=>a

_{15}= 4*15 + 6 = 60+6 = 66.

10. a_{1} = a_{2} = 2, a_{n} = a_{n} – 1–1, n > 2. Find a_{5}.

a) 2

b) -1

c) 1

d) 0

View Answer

Explanation: a

_{n}= a

_{n}– 1–1, n > 2

=> a

_{3}= a

_{2}– 1 = 2 – 1 = 1

=> a

_{4}= a

_{3}– 1 = 1 – 1 = 0

=> a

_{5}= a

_{4}– 1 = 0 – 1 = -1.

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