Quick Revision and Practice Questions

Duration: 1 hr 1 min

This video lesson is available to enrolled students.

Return to /learn/DSSSB-TGT-COMPUTER-SCIENCE-COMPLETE-COURSE/arithmetical-numerical-ability/sequence-and-series-series/multiple-topics/asset-quick-revision-and-practice-questions-16337 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Section A: General Awareness: Polity, Physics, Biology, Chemistry, Static General Knowledge, History, Geography, Indian Economy, GK- Current Affairs, Evolution of Indian Banking (Banking & Financial Awareness), Environment
  3. Section A: General Intelligence & Reasoning ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Blood Relations, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Directions (Direction Test), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Crypt Arithmetic, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, TCS NQT Advanced Reasoning Ability
  4. Section A: Arithmetical & Numerical Ability: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Powers and Exponents (Surds and Indices), Algebra, Probability, Mental Ability, Age Problems, Partnership, Statistics, Arithmetic, Speed Mathematics and Basic Mathematics, Miscellaneous
  5. Section A: English Language & Comprehension: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Articles, Sentence Construction, Preposition, Direct and Indirect Speech, Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Modals, Active Passive Voice (Voice), Sentence Correction (Error Correction), Adverb, Conjunction, Cloze Test (Cloze Passage)
  6. Section A: Hindi Language & Comprehension: भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  7. Section B: Programming, Data Structures, OOP & Java: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Language Design, Intro to Compilers, Visual Basics, Syntax Analysis: Bottom-Up, Object Oriented Technology
  8. Section B: Computer Networks, TCP/IP & Network Security: Introduction to CN, Data Communication, DLL: Flow Control, DLL: Access Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Access Technologies, Network Security, Society, Law & Ethics, Mobile Computing, Net Layer:Routing Protocol, Cyber Safety and Security
  9. Section B: Teaching Methodology: Child Development, Concept of Pedagogy, Theories, Inclusive Education, Experiential Pedagogy, Assessment & Evaluation, Curriculum Framework & Reforms, National Education Policy (NEP) 2020, Psychology, Teaching-Learning Process, Personality Development, Teaching Methods & Strategies, Learning and Motivation, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Nature, Objectives & Characteristics of Teaching, Teaching-Learning Aids & ICT Integration, Classroom Management & Communication, Evaluation, Assessment & Measurement, Curriculum & School Environment, Inclusive Education & Special Needs, Professional Development & Ethics
  10. Section B: Digital Electronics / Boolean Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section B: Operating Systems & Linux: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, File Management, Disc Scheduling, Unix OS, Linux OS, Distributed Systems, Windows OS
  12. Section B: Data Base Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, File Organization & Indexing, Transaction Management, Concurrency Control, Database Security & Authorization, Database Recovery, Data Warehousing & Mining
  13. Section B: Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, HTML Basics, CSS, Emerging Technologies, JavaScript-Basics, .Net Programming, Electronic Data Interchange and E-Commerce, XML
  14. Section B: Computer Fundamentals, IT Basics & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer, Terms & Abbreviations, MS Office Applications, Instr Formats & Modes, Floating Point Rep, Artificial Intelligence, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), कंप्यूटर नेटवर्क / Computer Networks, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section B: Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  16. Section B: Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, extras, Fundamentals of Systems and Information Systems
  17. Section B: Design & Analysis of Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  18. Section B: Mathematics: Linear Algebra, Calculus, Trigonometry, Vectors, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps, Graph Theory, Number System & Place Value, Factors, Multiples, Divisibility, HCF & LCM, Mensuration — Perimeter, Area, Surface Area, Volume, Data Handling, Graphs & Probability, Coordinates & Graphs, Higher Mathematics — Trigonometry, Quadratics, Polynomials, Progressions, Statistics, Logarithms, समतल क्षेत्रमिति / Plane Mensuration, प्रतिचयन / Sampling
  19. Section B: Computer Graphics, Multimedia & Mobile Computing: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, Multimedia
  20. Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing, Marketing and Consumer Studies
  21. DSSSB Previous Year Paper:
  22. Business Studies and Management: Business Communication, Business Organization and Management, Financial Accounting, Business Economics, Management Information System (MIS), Knowledge Management & New Economy
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive lecture on Sequences and Series, aimed at students preparing for placement exams. The instructor, Yash Jain, begins with fundamental definitions, distinguishing sequences from sets and explaining the difference between finite and infinite series. The lecture covers key types of sequences including Arithmetic Progression (AP), Geometric Progression (GP), Harmonic Progression (HP), and Fibonacci numbers. Detailed formulas for the nth term and sum of series are presented in a comparative table. The second half of the video focuses on practical application, solving multiple-choice questions from various companies like Wipro, Amcat, Cognizant, Infosys, and L&T. These examples cover finding common differences, nth terms, sums of series, and solving problems involving Arithmetic and Geometric Means.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title slide featuring a cartoon boy at a desk. The main title reads "SEQUENCE & SERIES" in bold black letters. Behind the character, a green chalkboard displays the general formula for the sum of a series: $S_N = a_1 + a_2 + a_3 + .. + a_N$. Faint mathematical equations like $x=y$ and $\sqrt{12}$ are visible in the background, setting a mathematical context for the lesson.

  2. 2:00 – 5:00 02:00-05:00

    The scene transitions to a live instructor, identified as "YASH JAIN SIR" in the bottom left corner. He stands before a digital screen showing the same introductory slide. A text box labeled "Basic To Advance" appears, indicating the lecture's difficulty progression. The slide then updates to list "Important Topics" which include Arithmetic Progression, Geometric Progression, Arithmetic Mean, and Geometric Mean, outlining the syllabus for the session.

  3. 5:00 – 10:00 05:00-10:00

    The instructor begins defining sequences. The slide asks "What is a Sequence & Series?" and defines it as a "list of items/objects which have been arranged in a sequential way." The instructor underlines key phrases to emphasize that order matters. He explains that unlike sets, sequences allow for repeated terms. The concept of length is introduced, noting that a sequence can be either finite or infinite based on the number of terms.

  4. 10:00 – 15:00 10:00-15:00

    The lecture continues with more detailed definitions. The slide states that a sequence is an arrangement followed by a rule, using notation $a_1, a_2, a_3...$ for terms and $1, 2, 3...$ for positions. The instructor writes an example sequence $\{1, 1, 2, 2, 3, 3\}$ on the screen to demonstrate repetition. The slide then lists "Types of Sequence & Series," categorizing them into Arithmetic, Geometric, Harmonic, and Fibonacci numbers.

  5. 15:00 – 20:00 15:00-20:00

    Specific definitions for sequence types are provided. An Arithmetic Sequence is defined by adding or subtracting a definite number. A Geometric Sequence involves multiplying or dividing by a definite number. A Harmonic Sequence is defined where the reciprocals of the elements form an arithmetic sequence. The instructor circles key operations like "adding or subtracting" and "multiplying or dividing" to highlight the core mechanisms of each sequence type.

  6. 20:00 – 25:00 20:00-25:00

    The focus shifts to Fibonacci Numbers. The slide explains that each element is obtained by adding two preceding elements, starting with 0 and 1. The recursive formula $F_n = F_{n-1} + F_{n-2}$ is displayed. The instructor writes the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21 on the screen. He also writes the base cases $F_0 = 0$ and $F_1 = 1$ to clarify the starting point of the sequence.

  7. 25:00 – 30:00 25:00-30:00

    A comparison table is displayed on the screen contrasting "Arithmetic Progression" and "Geometric Progression". The rows include Sequence, Common Difference or Ratio, General Term (nth Term), nth term from the last term, and Sum of first n terms. The instructor points to the formulas for the general term: $a_n = a + (n-1)d$ for AP and $a_n = ar^{(n-1)}$ for GP, highlighting the structural differences between the two progressions.

  8. 30:00 – 35:00 30:00-35:00

    The instructor elaborates on the formulas in the comparison table. For AP, the sum of the first n terms is $S_n = n/2(2a + (n-1)d)$. For GP, the sum formulas depend on the common ratio $r$: $S_n = a(1-r^n)/(1-r)$ if $r < 1$ and $S_n = a(r^n-1)/(r-1)$ if $r > 1$. He writes examples like 1, 3, 5, 7, 9 to illustrate AP and 1, 2, 4, 8, 16 for GP to make the concepts concrete.

  9. 35:00 – 40:00 35:00-40:00

    The topic of Infinite Geometric Progression is introduced. The instructor writes $S_\infty = a / (1-r)$ on the blackboard, explaining that this formula applies when the common ratio is between -1 and 1. The lecture then transitions to a practice problem from "Wipro". The sequence is 4, 7, 10, 13, 16, 19, 22... The task is to find the common difference, nth term, and 21st term.

  10. 40:00 – 45:00 40:00-45:00

    The instructor solves the Wipro problem. He identifies the common difference $d = 7-4 = 3$. He uses the formula $a_n = a + (n-1)d$ to find the nth term: $4 + (n-1)3 = 3n + 1$. He then calculates the 21st term. The next problem is from "Amcat", asking for the common ratio and 9th term of the sequence 1, 4, 16, 64, 256, 1024...

  11. 45:00 – 50:00 45:00-50:00

    The instructor solves the Amcat problem. He identifies the common ratio $r = 4/1 = 4$. He writes the formula for the nth term of a GP: $a_n = ar^{n-1}$. He calculates the 9th term. The next problem is from "Cognizant": "The arithmetic mean of 2 numbers is 34 and their geometric mean is 16. One of the numbers will be?". The instructor sets up the equations $a+b=68$ and $ab=256$.

  12. 50:00 – 55:00 50:00-55:00

    The instructor solves the Cognizant problem by forming a quadratic equation $x^2 - 68x + 256 = 0$. He factors it to find the roots, which are the two numbers. The next problem is from "Infosys": "How many numbers are divisible by 6 between 1 to 400?". The instructor identifies this as an AP problem with the sequence 6, 12, 18, 24... up to 396. He uses the formula $a_n = a + (n-1)d$ to find $n$.

  13. 55:00 – 60:00 55:00-60:00

    The final problem is from "LTI": "Find the value of the expression: 1 - 4 + 5 - 8 ... to 50 terms." The instructor groups the terms into pairs: $(1+5+9...) + (-4-8-12...)$. He calculates the sum of the two separate APs. The video concludes with the "KG KNOWLEDGE GATE" logo and website, signaling the end of the lecture.

  14. 60:00 – 60:47 60:00-60:47

    The video ends with a closing screen displaying the "KG KNOWLEDGE GATE" logo against a dark background with orange circuit-like lines. The website URL www.knowledgegate.in is visible below the logo. This final segment serves as a branding outro for the educational platform.

The lecture systematically builds knowledge from basic definitions to complex problem-solving. It starts by defining sequences and series, distinguishing them from sets and highlighting the importance of order and repetition. The instructor then categorizes sequences into Arithmetic, Geometric, Harmonic, and Fibonacci types, providing clear definitions and formulas for each. A comparative table is used to contrast AP and GP, emphasizing their respective formulas for the nth term and sum of series. The second half of the video applies these concepts to real-world exam questions from companies like Wipro, Amcat, Cognizant, Infosys, and L&T. These examples cover a range of difficulties, from finding common differences to solving quadratic equations derived from Arithmetic and Geometric Means. The consistent use of visual aids, such as writing formulas on the screen and underlining key terms, reinforces the learning objectives.

Loading lesson…