AKUEB HSSC-I Mathematics Sequence and Series MCQs & Practice Questions

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

AKU-EB Model Paper 2025MEDIUM

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

AKU-EB Model Paper 2025EASY

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

AKU-EB Model Paper 2025MEDIUM

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:

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

AKU-EB Model Paper 2025MEDIUM

The harmonic mean between two numbers $\dfrac{a}{2}$ and $\dfrac{b}{2}$ is

\dfrac{ab}{a+b}

\dfrac{a+b}{ab}

\dfrac{2ab}{a+b}

\dfrac{a+b}{2ab}

Class 11 - Mathematics / Unit 3 - Sequence and Series / 3.8 Harmonic Sequence / 3.8.2

AKU-EB Model Paper 2025EASY

If $T_n$ of an arithmetic sequence is $2n-1$ , then $T_n$ of the associated harmonic sequence will be

\dfrac{2}{n-1}

\dfrac{2}{n}-1

\dfrac{1}{2n-1}

\dfrac{1}{2n}-1

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

AKU-EB Model Paper 2025EASY

The sum of the infinite geometric series $a, ab, ab^2, ab^3, \dots$ is equal to (Note: $|b|<1$ )

\infty

\dfrac{a}{1-b}

\dfrac{a}{b-1}

\dfrac{b}{1-a}

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

AKU-EB Model Paper 2025EASY

The sum of the $5^{\text{th}}$ and $6^{\text{th}}$ terms of an arithmetic sequence is $20$ . If the common difference is $2$ , then the first term of the sequence will be

-2

-1

1

2

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

AKU-EB Model Paper 2025EASY

For a geometric progression, the sum of the first two terms is $9$ . If the first term is $3$ , then the third term is

12

8

7

6

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

AKU-EB Model Paper 2025MEDIUM

If the $n^{\text{th}}$ term of a sequence is $(-2)^{\frac{n}{2}}$ , then the $(2n)^{\text{th}}$ term of the sequence will be

(-2)^{n}

(-2)^{2n}

(-2)^{\frac{n}{4}}

(-2)^{4n}

Sequence and Series - HSSC-I Mathematics