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All questions of Sequences and Functions for Class 9 Exam
What is the rule in the following sequence 2, 4, 8, 16, 32, 64, 128?- a)Add 8 to the previous number
- b)Add together the two previous numbers
- c)Double the previous number
- d)Halve the previous number
Correct answer is option 'C'. Can you explain this answer?
a)
Add 8 to the previous number
b)
Add together the two previous numbers
c)
Double the previous number
d)
Halve the previous number
 | C K Academy answered |
If you carried this sequence on the numbers would soon become astronomical!
Given the sequence 5, 11, 17, 23, ..., what is the 7th term?- a)35
- b)41
- c)47
- d)53
Correct answer is option 'B'. Can you explain this answer?
a)
35
b)
41
c)
47
d)
53
| | C K Academy answered |
The sequence increases by 6 each time. So, the 7th term is 5 + 6(7-1) = 5 + 36 = 41.
If the function h(x) = 2x2 + 3x - 5, what is h(-1)?- a)0
- b)-4
- c)-6
- d)-8
Correct answer is option 'C'. Can you explain this answer?
If the function h(x) = 2x2 + 3x - 5, what is h(-1)?
a)
0
b)
-4
c)
-6
d)
-8
| | C K Academy answered |
Substitute x = -1 into the function: h(-1) = 2(-1)2 + 3(-1) - 5 = 2 - 3 - 5 = -6.
If f(x) = 3x + 2, what is f(4)?- a)10
- b)12
- c)14
- d)16
Correct answer is option 'C'. Can you explain this answer?
a)
10
b)
12
c)
14
d)
16
| | C K Academy answered |
Substitute x = 4 into the function: f(4) = 3(4) + 2 = 12 + 2 = 14.
What is the next number in the sequence: 2, 6, 12, 20, 30, ...?- a)40
- b)42
- c)44
- d)46
Correct answer is option 'B'. Can you explain this answer?
What is the next number in the sequence: 2, 6, 12, 20, 30, ...?
a)
40
b)
42
c)
44
d)
46
| | C K Academy answered |
The sequence follows the pattern n(n+1), where n starts from 1. So, the next term is 6(6+1) = 42.
Which numbers come next in the following sequence: 1, 1, 2, 3, 5, 8?- a)13, 21, 34
- b)11, 14, 17
- c)5, 3, 2
- d)12, 20, 30
Correct answer is option 'A'. Can you explain this answer?
a)
13, 21, 34
b)
11, 14, 17
c)
5, 3, 2
d)
12, 20, 30
| | C K Academy answered |
This sequence is called the Fibonacci sequence. The rule is that we add together the two previous numbers. Sometimes sequences are easy to spot and at other times they take a lot of thinking about!
An ordered set of numbers that follow a pattern is called what?- a)A Secret
- b)A Sequel
- c)A Sequence
- d)A Sequin
Correct answer is option 'C'. Can you explain this answer?
a)
A Secret
b)
A Sequel
c)
A Sequence
d)
A Sequin
| | C K Academy answered |
A sequence is a particular order in which related things follow each other
What is the missing number in the sequence: 10, 20, 30, ___, 50- a)35
- b)40
- c)45
- d)25
Correct answer is option 'B'. Can you explain this answer?
What is the missing number in the sequence: 10, 20, 30, ___, 50
a)
35
b)
40
c)
45
d)
25
| | C K Academy answered |
This sequence increases by 10 each time: 10 + 10 = 20, 20 + 10 = 30, 30 + 10 = 40, so the missing number is 40.
What is the next number in the sequence: 1, 4, 9, 16, ...?- a)21
- b)24
- c)25
- d)36
Correct answer is option 'C'. Can you explain this answer?
What is the next number in the sequence: 1, 4, 9, 16, ...?
a)
21
b)
24
c)
25
d)
36
| | C K Academy answered |
The given sequence 1,4,9,16,… represents the squares of consecutive integers (1², 2², 3², 4², ...).
To find the next term:
- The next integer after 4 is 5.
- Calculate 52
52 = 25
Therefore, the next number in the sequence is 25.
Identify the next number in the sequence: 2, 4, 8, 16, ___- a)24
- b)18
- c)32
- d)20
Correct answer is option 'C'. Can you explain this answer?
Identify the next number in the sequence: 2, 4, 8, 16, ___
a)
24
b)
18
c)
32
d)
20
| | C K Academy answered |
This sequence doubles each time: 2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16, so the next number is 16 × 2 = 32.
Identify the next term in the sequence: 1, 4, 9, 16, ___- a)20
- b)24
- c)25
- d)36
Correct answer is option 'C'. Can you explain this answer?
Identify the next term in the sequence: 1, 4, 9, 16, ___
a)
20
b)
24
c)
25
d)
36
| | C K Academy answered |
This sequence represents the squares of natural numbers: 1² = 1, 2² = 4, 3² = 9, 4² = 16, so the next term is 5² = 25.
What are the next three numbers in this sequence: 28, 24, 20, 16?- a)14, 12, 10
- b)15, 14, 13
- c)20, 24, 28
- d)12, 8, 4
Correct answer is option 'D'. Can you explain this answer?
a)
14, 12, 10
b)
15, 14, 13
c)
20, 24, 28
d)
12, 8, 4
| | C K Academy answered |
Each number is 4 less than the previous number. If asked to give the rule we might say 'Take 4 from the previous number'
What is the next term in the geometric sequence 3, 9, 27, 81, ...?- a)243
- b)256
- c)300
- d)324
Correct answer is option 'A'. Can you explain this answer?
a)
243
b)
256
c)
300
d)
324
| | C K Academy answered |
The sequence multiplies by 3 each time. So, the next term is 81 * 3 = 243.
What is the common difference in the arithmetic sequence 7, 14, 21, 28, ...?- a)5
- b)6
- c)7
- d)8
Correct answer is option 'C'. Can you explain this answer?
a)
5
b)
6
c)
7
d)
8
| | C K Academy answered |
The common difference is found by subtracting consecutive terms: 14 - 7 = 7.
Continue the sequence: 5, 10, 15, ___, 25, ___- a)20, 30
- b)25, 30
- c)20, 25
- d)30, 35
Correct answer is option 'A'. Can you explain this answer?
Continue the sequence: 5, 10, 15, ___, 25, ___
a)
20, 30
b)
25, 30
c)
20, 25
d)
30, 35
| | C K Academy answered |
This sequence increases by 5 each time: 5 + 5 = 10, 10 + 5 = 15, 15 + 5 = 20, 25 + 5 = 30, so the sequence continues with 20 and then 30.
What is the sixth term in the sequence with Tn = 2n - 5?- a)7
- b)10
- c)17
- d)27
Correct answer is option 'A'. Can you explain this answer?
a)
7
b)
10
c)
17
d)
27
| | C K Academy answered |
Use n = 6 to find the value of Tn
Find the missing number in the sequence: 3, 6, 12, ___, 48- a)18
- b)24
- c)36
- d)28
Correct answer is option 'B'. Can you explain this answer?
Find the missing number in the sequence: 3, 6, 12, ___, 48
a)
18
b)
24
c)
36
d)
28
| | C K Academy answered |
This sequence multiplies by 2 each time: 3 × 2 = 6, 6 × 2 = 12, 12 × 2 = 24, so the missing number is 24.
For the function g(x) = x2 - 4x + 4, what is the value of g(2)?- a)0
- b)2
- c)4
- d)6
Correct answer is option 'A'. Can you explain this answer?
For the function g(x) = x2 - 4x + 4, what is the value of g(2)?
a)
0
b)
2
c)
4
d)
6
| | C K Academy answered |
Substitute x = 2 into the function: g(2) = (2)2 - 4(2) + 4 = 4 - 8 + 4 = 0.
Which of the following is the inverse of the function f(x) = x + 3?- a)f-1(x) = x - 3
- b)f-1(x) = x + 3
- c)f-1(x) = 3x
- d)f-1(x) = x/3
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the inverse of the function f(x) = x + 3?
a)
f-1(x) = x - 3
b)
f-1(x) = x + 3
c)
f-1(x) = 3x
d)
f-1(x) = x/3
| | C K Academy answered |
To find the inverse, solve for x: y = x + 3, x = y - 3,
so f-1(x) = x - 3.
so f-1(x) = x - 3.
What is the value of x in the function f(x) = 2x - 5 when f(x) = 9?- a)5
- b)6
- c)7
- d)8
Correct answer is option 'A'. Can you explain this answer?
a)
5
b)
6
c)
7
d)
8
| | C K Academy answered |
Set the function equal to 9: 2x - 5 = 9. Solve for x: 2x = 14, x = 7.
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