AKUEB Class 11 (HSSC-I) Mathematics Sequence and Series MCQs & Practice Questions

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.9 Harmonic Mean / 3.9.1

Past Paper 2024MEDIUM

If the harmonic mean between $a$ and $b$ is $2$ , then which of the following statements is TRUE?

a+b=2ab

2a+b=ab

a+2b=ab

2a+2b=2ab

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.7 Geometric Series / 3.7.3

Past Paper 2024MEDIUM

The sum of the infinite sequence $0.6+0.06+0.006+\ldots$ is

\dfrac{2}{3}

-\dfrac{2}{3}

\dfrac{1}{15}

-\dfrac{1}{15}

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.6 Geometric Mean / 3.6.2

Past Paper 2024HARD

The 3rd geometric mean of $6, GM_1, 48, GM_3, 384$ is

\pm12\sqrt{2}

27

\pm96\sqrt{2}

216

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.4 Arithmetic Series / 3.4.3

Past Paper 2024MEDIUM

The sum of the first five terms of an arithmetic sequence is $60$ , and the common difference is equal to the first term. The sequence will be

3, 6, 9, \ldots

4, 8, 12, \ldots

5, 10, 15, \ldots

6, 12, 18, \ldots

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.2 Arithmetic Sequence / 3.2.3

Past Paper 2024MEDIUM

The 10th term of the given sequence $\dfrac{a}{2}, a, \dfrac{3a}{2}, 2a$ is

\dfrac{19}{2}a

6a

5a

a

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.1 Sequence (progression) / 3.1.3

Past Paper 2024EASY

If the general term of a sequence is $T_n = \dfrac{n^2(n+1)}{2}$ , then the third term is

3

6

12

18

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.9 Harmonic Mean / 3.9.1

Past Paper 2025MEDIUM

The harmonic mean between $\dfrac{1}{2}$ and $\dfrac{1}{3}$ is

\dfrac{2}{5}

\dfrac{5}{12}

\dfrac{5}{2}

\dfrac{12}{5}

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.7 Geometric Series / 3.7.2

Past Paper 2025MEDIUM

Consider the sequence $1, 1\times3, 1\times3^2, 1\times3^3, \ldots$ . The sum of the first $10$ terms of the given sequence is

243

5904

9841

29524

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.5 Geometric Sequence / 3.5.3

Past Paper 2025HARD

At the end of the first week, the plant's height is $1.67$ cm, and its growth rate for each subsequent week is $4\%$ higher than the previous week. The expression that calculates the height of the plant at the end of $9$ weeks can be written as

1.67 \times \left(\dfrac{4}{100}\right)^8

1.67 \times \left(\dfrac{104}{100}\right)^8

1.67 \times \left(\dfrac{4}{100}\right)^9

1.67 \times \left(\dfrac{104}{100}\right)^9

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.4 Arithmetic Series / 3.4.3

Past Paper 2025MEDIUM

Q10

The sum of the first three terms of an arithmetic series is $18$ . If the common difference of the series is $3$ , then the first term of the series will be

3

5

9

15

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.2 Arithmetic Sequence / 3.2.3

Past Paper 2025EASY

Q11

If the first term of an arithmetic sequence is $3$ and the common difference is $5$ , then the fourth term is

12

15

18

23

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.1 Sequence (progression) / 3.1.2

Past Paper 2025MEDIUM

Q12

The general term of the sequence $a^2, -a^3, a^4, -a^5, \ldots$ is

-\dfrac{a^n}{a}

\dfrac{(-a)^n}{a}

-a^{n+1}

(-a)^{n+1}

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.2 Arithmetic Sequence / 3.2.3

Model Paper 2026MEDIUM

Q13

Fill the following blank:

Note: Enter the answer in fractions like 2m/3
Find the sum up to

n

terms of an arithmetic sequence whose

1^{\text{st}}

term is

7

and

7^{\text{th}}

term is

37

S_n

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.2 Arithmetic Sequence / 3.2.3

Model Paper 2026EASY

Q14

Fill the following blank:

An arithmetic sequence satisfies the condition

4\times a_6 = a_{26}

. If the first term

a=5

, find the common difference

d

of the sequence.
The common difference

d

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.7 Geometric Series / 3.7.4

Model Paper 2026MEDIUM

Q15

Fill in the following blank:

Convert

0.481481481481481\ldots

into an equivalent fraction.
Note: Enter the answer as a fraction like 23/4,5/2
The equivalent fraction is:

Sequence and Series - Class 11 (HSSC-I) Mathematics