Find the next term (Important Questions)
Duration: 9 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- Course Overview: About the Course
- Paper - 1 | Unit - 1 | Teaching Aptitude: Nature, Objectives & Characteristics of Teaching, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Teaching-Learning Aids & ICT Integration, Evaluation, Assessment & Measurement
- Paper - 1 | Unit - 2 | Research Aptitude: Introduction to Research, Validity & Reliability, Research Paradigms & Types of Research, Research Process Steps, Research Ethics, Writing & Publication
- Paper - 1 | Unit - 3 | Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions)
- Paper - 1 | Unit - 4 | Communication: Communication Basics, Language and Semiotics, Types of Communication, Communication Models, Mass Communication, Mass Media, Journalism, General Knowledge and General Studies related to Communication
- Paper - 1 | Unit - 5 | Mathematical Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Number System, Percentage, Ratio and Proportion (Ratios), Simple Interest and Compound Interest, Speed Time and Distance, Powers and Exponents (Surds and Indices), Profit and Loss, Average, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Verbal Analogy (Word Based Analogy), Divisibility Rules, Calendar, Miscellaneous, Time and Work, Algebra
- Paper - 1 | Unit - 6 | Logical Reasoning: Syllogisms, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Venn Diagram, School Of Thoughts, Fallacy, Western Logic
- Paper - 1 | Unit - 7 | Data Interpretation: Data Interpretation
- Paper - 1 | Unit - 8 | Information and Communication Technology: MS Office Applications, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Emerging Technologies, Terms & Abbreviations, Artificial Intelligence, Society, Law & Ethics, Keyboard Shortcuts, Website, Browser & Services
- Paper - 1 | Unit - 9 | People Development and Environment: Ecosystem, Biomes & Environmental Issues, MDG & SDG, Air Pollution, Water Pollution, Soil, Noise Pollution and Waste Management, Natural Resources, Energy & Disaster Management, Global Environmental Conventions – COP, Protocols & ISA
- Paper - 1 | Unit - 10 | Higher Education System: Vedic Education, Jainism & Buddhism, Ancient Universities, Pre-Independence Commissions, Post-Independence Policy, Higher Education Structure & Accreditation, Universities & Learning Programmes, Types of Education & NEP 2020
- Paper 2 | Unit 1 | Discrete Structures and Optimization: Propositional and Predicate Logic, Set Theory, Relations, Functions, Permutation and Combination, Probability, Graph Theory, Group Theory, Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Optimization
- Paper 2 | Unit 2 | Computer System Architecture: Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Basics of COA, Register Transfer and Microoperations, Programming the Basic Computer, Instr Formats & Modes, Control Unit Design, Pipelining, Input Output Organisation, Cache Memory Organization, Multiprocessors
- Paper 2 | Unit 3 | Programming Languages and Computer Graphics: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, HTML Basics, XML, JavaScript-Basics, Java, Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, OOPS with C++, Java Fundamentals
- Paper 2 | Unit 4 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
- Paper 2 | Unit 5 | System Software and Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
- Paper 2 | Unit 6 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
- Paper 2 | Unit 7 | Data Structures and Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
- Paper 2 | Unit 8 | Theory of Computation and Compilers: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
- Paper 2 | Unit 9 | Data Communication and Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cloud Computing
- Paper 2 | Unit 10 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
- Live Classes: NTA UGC NET 2025 Live Class
- Paper 1 | Full Mock Tests:
- Paper 2 | Full Mock Tests:
- Paper 1 | Previous Year Papers:
- Paper 2 | Previous Year Papers:
AI summary & chapters
AI Summary
An AI-generated summary of this video lecture.
The lecture introduces number and letter series problem-solving, beginning with a title slide for 'Number Series - Letter Series' and a puzzle: 5, 7, 12, 19, 31, 50, ?. The instructor then presents a 'Success Mantra' slide emphasizing a three-step process for exam success, repeatedly writing the word 'Practice' and drawing arrows to each step. The main practice section focuses on 'Find the next term' questions, displaying six number series with a 90-second time limit. The instructor solves the first series (30, 34, 43, 59, 84, 120) by identifying differences as consecutive squares (2², 3², 4², 5², 6², 7²), yielding the next term as 120 + 49 = 169. The second series (9, 18, 54, 108, 324) uses alternating multipliers (×2, ×3), giving the next term as 324 × 2 = 648. A third series (43, 38, 31, 22, 11, -2) involves subtraction with decreasing differences. Later problems include a series with alternating operations (17, 98, 26, 89, 35), a multiplication series (3.25, 6.5, 19.5, 78, 390) using multipliers ×2, ×3, ×4, ×5, and a difference series (14, 30, 52, 80, 114) where first differences are 16, 22, 28, 34 and second differences are constant at +6, leading to the next term 154. The video concludes with a 'Thanks for watching' screen.
Chapters
0:00 – 2:00 00:00-02:00
The video opens with a title slide reading 'NUMBER SERIES - LETTER SERIES' and presents the puzzle 'Find the Next Number in this series: 5, 7, 12, 19, 31, 50, ?'. It then transitions to a 'SUCCESS MANTRA' slide titled 'The 3 Step Process To Get 100% Success In Any Exam'. The instructor writes the word 'Practice' on the left and draws red arrows from it to each of three numbered steps, repeating 'Practice' above steps 2 and 3 to emphasize that practice is required at every stage. The on-screen text 'TRIED & TESTED' reinforces the reliability of this approach.
2:00 – 5:00 02:00-05:00
A 'Questions' slide appears with the type 'Find the next term', listing six number series on an orange background, including 30, 34, 43, 59, 84, 120; 9, 18, 54, 108, 324; and 43, 38, 31, 22, 11, -2. A handwritten '90 sec' time limit is added to encourage speed. The instructor isolates the first series and calculates differences: 4, 9, 16, 25, 36, 49, identifying them as consecutive squares (2² through 7²), so the next term is 120 + 49 = 169. The second series (9, 18, 54, 108, 324) is annotated with alternating multipliers ×2 and ×3, giving the next term as 324 × 2 = 648. The third series (43, 38, 31, 22, 11, -2) is introduced with a noted difference of 5.
5:00 – 8:44 05:00-08:44
The instructor continues with additional series. A problem involving 17, 98, 26, 89, 35 is presented with alternating operations. A multiplication series (3.25, 6.5, 19.5, 78, 390) is solved using increasing multipliers ×2, ×3, ×4, ×5, yielding the next term as 390 × 6 = 2340. A difference series (14, 30, 52, 80, 114) is analyzed: first differences are 16, 22, 28, 34, and second differences show a constant +6 pattern. The next first difference is 40, giving the next term as 114 + 40 = 154. The video ends with a 'THANKS FOR WATCHING' screen.
The lecture teaches systematic approaches to 'Find the next term' number series problems. Key methods include: (1) computing first differences and recognizing patterns such as consecutive squares; (2) identifying alternating multiplication factors like ×2, ×3; and (3) using second-order differences when first differences form an arithmetic sequence. The instructor emphasizes time management with a 90-second limit and reinforces that consistent practice across all three steps of the success process is essential. Worked examples demonstrate each pattern type clearly, providing a reusable framework for exam preparation.