Welcome to the Sequences,Sums and Matrices MCQs Page

Dive deep into the fascinating world of Sequences,Sums and Matrices with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sequences,Sums and Matrices, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sequences,Sums and Matrices, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

Check out the MCQs below to embark on an enriching journey through Sequences,Sums and Matrices. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Sequences,Sums and Matrices. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Sequences,Sums and Matrices MCQs | Page 3 of 12

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Group Theory

Q21.

Let A₁, A₂, be two AM’s and G₁, G₂ be two GM’s between a and b,then (A₁ + A₂) / G₁G₂ is equal to _______

(a+b) / 2ab

2ab/(a+b)

(a+b)/(ab)

None of the mentioned

Discuss

Answer: (c).(a+b)/(ab)

Q22.

The series a,(a+b)/2, b is in _______

None of the mentioned

Discuss

Answer: (a).AP

Q23.

The series a, (ab)½, b is in _______

None of the mentioned

Discuss

Answer: (b).GP

Q24.

If A and G be the A.M and G.M between two positive number then the numbers are A + (A² – G²)½, A – (A² – G²)½.

True

False

May be True or False

Can't say

Discuss

Answer: (a).True

Q25.

If one geometric mean G and two airthmetic mean A₁, A₂ are inserted between two numbers, then (2A₁ – A₂) (2A₂ – A₁) is equal to _______

G²

None of the mentioned

Discuss

Answer: (c).G²

Q26.

State whether the given statement is true or false.

AM ≤ GM.

True

False

May be True or False

Can't say

Discuss

Answer: (b).False

Q27.

If between two numbers which are root of given equation. x² – 18x + 16 = 0, a GM is inserted then the value of that GM is?

Discuss

Answer: (a).4

Q28.

If a₁, a₂, a₃ are in airthemetic as well as geometric progression then which of the following is/are correct?

2a₂ = a₁ + a₃

a₂ = (a₁a₃)½

a₂ – a₁ = a₃ -a₂

All of the mentioned are correct

Discuss

Answer: (d).All of the mentioned are correct

Q29.

If a₁, a₂, a₃ are in GP then 1/a₁, 1/a₂, 1/a₃ are in ___________

None of the mentioned

Discuss

Answer: (b).GP

Q30.

If a₁, a₂, a₃…….. are in AP then if a₇ = 15, then the value of common difference that would make a₂ a₇ a₁₂ greatest is?

Discuss

Answer: (b).0

Page 3 of 12

Welcome to the Sequences,Sums and Matrices MCQs Page

Sequences,Sums and Matrices MCQs | Page 3 of 12

Explore more Topics under Discrete Mathematics

Logics and Proofs

Sets and Functions

Algorithms

Number Theory and Cryptography

Induction and Recursion

Counting Theory

Discrete Probability

Relations

Graphs and Graphs Properties

Tree Properties

Boolean Algebra and Modeling Computations

Group Theory

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