Find the Nth Term of the Series

Duration: 3 min

This video lesson is available to enrolled students.

Inside: a video lesson and guided study material.

Module outline

Communication Round: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Direct and Indirect Speech, Active Passive Voice (Voice), Verbal Analogy (Word Based Analogy), Articles, Preposition, Conjunction, Sentence Construction, English Writing Ability, Communication Assessment
Quantitative Aptitude: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Speed Time and Distance, Percentage, Average, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Age Problems, Pipe and Cistern, Probability, Profit and Loss, Simple Interest and Compound Interest, Algebra
Analytical and Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Puzzle Solving (Puzzles), Syllogisms, Seating Arrangements, Calendar, Clock, Blood Relations, Cubes & Dices, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning)
Cognizant Gaming Aptitude: Gamified / Game Based Aptitude
Java (Cluster 1): Java
ANSI SQL MySQL (Cluster 1,2,3): SQL
HTML, CSS, JavaScript (Cluster 1,3): HTML, CSS, JavaScript
Python (Cluster 2): Python for Placements by Yash Sir
Cloud Fundamentals (Cluster 2): Emerging Tech Trends
C# (Cluster 3): C#
OOPs: Object Oriented Programming (OOPS)
Technical Assessment (Coding): Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Pseudo Codes
Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
DBMS: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, 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
Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
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, Cyber and Info Security

AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This video is a programming tutorial from Knowledge Gate that teaches how to solve a pattern recognition problem. The instructor presents a series of numbers: 2, 10, 30, 68, 130, and asks the viewer to identify the pattern. The solution is derived by analyzing the relationship between the index (starting from 1) and the corresponding number, which is found to be n^3 + n. The video then demonstrates how to implement this formula in a C program using the scanf and printf functions. The final code snippet is shown, and the instructor explains that the program reads an integer X, calculates X^3 + X, and prints the result. The video also includes public test cases to verify the solution, such as input 8 yielding output 520 and input 12 yielding output 1740.

Chapters

0:00 – 2:00 00:00-02:00
The video begins with the Knowledge Gate logo, followed by a slide outlining the problem. The problem statement is displayed: given a series of numbers 2, 10, 30, 68, 130, identify the pattern and print the number at the Xth index. The input is a single integer X, and the output is the number at that index. The instructor, Yash Jain Sir, is visible in a small window. The instructor starts to analyze the series, writing on the screen to find the pattern. He begins by testing the formula n^3 + n for the first few terms, writing '1^3 + 1 = 2' and '2^3 + 2 = 10' to verify the pattern.
2:00 – 2:58 02:00-02:58
The instructor continues to verify the pattern by writing '3^3 + 3 = 30' and '4^3 + 4 = 68' on the screen, confirming the formula n^3 + n. He then shows public test cases: for input 8, the output is 520, and for input 12, the output is 1740, which are calculated as 8^3 + 8 and 12^3 + 12 respectively. The video then transitions to a code editor where the instructor writes a C program. The code includes the necessary header, a main function, and the logic to read an integer n, calculate n^3 + n, and print the result. The instructor explains the code line by line, emphasizing the use of scanf and printf.

The video provides a clear, step-by-step guide to solving a common programming problem. It starts with a problem statement, moves to a logical analysis to discover the mathematical pattern (n^3 + n), and then demonstrates the implementation of this solution in C code. The progression from problem understanding to code writing is logical and educational, making it a useful resource for students learning basic programming and pattern recognition.