Grade 9 : Mathematics - 6. Sequences (Set 1)

Question 1

What is the next term in the arithmetic sequence: $3, 7, 11, 15, \dots$?

Accepted Answer

B) 19

Answer

A) 18

Answer

C) 20

Answer

D) 21

Question 2

What is the common difference ($d$) of the arithmetic sequence: $12, 8, 4, 0, -4, \dots$?

Accepted Answer

B) -4

Answer

A) 4

Answer

C) 2

Answer

D) -2

Question 3

Which formula represents the $n$-th term ($a_n$) of the sequence: $5, 8, 11, 14, \dots$?

Accepted Answer

A) $a_n = 3n + 2$

Answer

B) $a_n = 3n + 5$

Answer

C) $a_n = 5n - 2$

Answer

D) $a_n = 2n + 3$

Question 4

Find the 10th term ($a_{10}$) of the arithmetic sequence: $2, 6, 10, 14, \dots$.

Accepted Answer

C) 38

Answer

A) 34

Answer

B) 36

Answer

D) 42

Question 5

What is the next term in the geometric sequence: $2, 6, 18, 54, \dots$?

Accepted Answer

C) 162

Answer

A) 108

Answer

B) 150

Answer

D) 180

Question 6

What is the common ratio ($r$) of the geometric sequence: $81, 27, 9, 3, \dots$?

Accepted Answer

B) $\frac{1}{3}$

Answer

A) 3

Answer

C) -3

Answer

D) $\frac{1}{9}$

Question 7

What is the next term in the sequence of square numbers: $1, 4, 9, 16, 25, \dots$?

Accepted Answer

C) 36

Answer

A) 30

Answer

B) 32

Answer

D) 49

Question 8

Given the general term $a_n = 2n - 3$, what is the 5th term ($a_5$)?

Accepted Answer

B) 7

Answer

A) 5

Answer

C) 9

Answer

D) 10

Question 9

What are the first three terms of the sequence given by $a_n = n^2 + 1$?

Accepted Answer

A) $2, 5, 10$

Answer

B) $1, 4, 9$

Answer

C) $2, 4, 6$

Answer

D) $1, 5, 10$

Question 10

Which term in the arithmetic sequence $4, 9, 14, 19, \dots$ is equal to 49?

Accepted Answer

C) 10th term

Answer

A) 8th term

Answer

B) 9th term

Answer

D) 11th term

Question 11

Calculate the sum of the first 5 terms of the sequence: $1, 3, 5, 7, 9, \dots$.

Accepted Answer

B) 25

Answer

A) 20

Answer

C) 30

Answer

D) 35

Question 12

Find the missing term in the linear sequence: $7, 14, \underline{\quad}, 28, 35$.

Accepted Answer

C) 21

Answer

A) 18

Answer

B) 20

Answer

D) 24

Question 13

What is the 7th term of the Fibonacci sequence: $1, 1, 2, 3, 5, 8, \dots$?

Accepted Answer

C) 13

Answer

A) 11

Answer

B) 12

Answer

D) 21

Question 14

Which expression gives the $n$-th term of the geometric sequence: $3, 6, 12, 24, \dots$?

Accepted Answer

A) $a_n = 3 	imes 2^{n-1}$

Answer

B) $a_n = 3 	imes 2^n$

Answer

C) $a_n = 2 	imes 3^{n-1}$

Answer

D) $a_n = 6n - 3$

Question 15

An arithmetic sequence has a first term $a_1 = 10$ and a common difference $d = 5$. Find $a_6$.

Accepted Answer

B) 35

Answer

A) 30

Answer

C) 40

Answer

D) 45

Question 16

Identify the type of sequence shown: $3, 9, 27, 81, \dots$.

Accepted Answer

B) Geometric sequence

Answer

A) Arithmetic sequence

Answer

C) Fibonacci sequence

Answer

D) Quadratic sequence

Question 17

Find the 8th term of the sequence with general term $a_n = (-1)^n \cdot n$.

Accepted Answer

B) 8

Answer

A) -8

Answer

C) -16

Answer

D) 16

Question 18

What is the next term in the arithmetic sequence: $100, 90, 80, 70, \dots$?

Accepted Answer

C) 60

Answer

A) 50

Answer

B) 55

Answer

D) 65

Question 19

Given $a_n = \frac{n}{n+1}$, find the value of $a_4$.

Accepted Answer

B) $\frac{4}{5}$

Answer

A) $\frac{3}{4}$

Answer

C) $\frac{5}{6}$

Answer

D) $\frac{4}{3}$

Question 20

What is the 6th term of the sequence of triangular numbers: $1, 3, 6, 10, 15, \dots$?

Accepted Answer

C) 21

Answer

A) 18

Answer

B) 20

Answer

D) 28

Grade 9 : Mathematics - 6. Sequences (Set 1)