Find the Nth Term of the Series

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. TCS One Shot Free Videos & Notes: TCS Preparation
  2. Numerical Ability (Foundation Section): 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, Powers and Exponents (Surds and Indices), Algebra, Probability, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Statistics, Arithmetic, Partnership, Speed Mathematics and Basic Mathematics
  3. Reasoning Ability (Foundation Section): Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Crypt Arithmetic, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Logical Sequence Of Words
  4. New Pattern-Verbal Ability (Foundation Section): Sentence Completion (Fill in the blanks), English Writing Ability
  5. Old Pattern-Verbal Ability (Foundation Section): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Preposition, Articles, Direct and Indirect Speech, Conjunction, Modals, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Verbal Analogy (Word Based Analogy), Active Passive Voice (Voice), Determiner, Facts, Inference and Judgements, Adverb, Cloze Test (Cloze Passage), Sentence Construction, Verb
  6. Advanced Quantitative Ability: TCS NQT Advanced Quantitative Ability
  7. Advanced Reasoning Ability: TCS NQT Advanced Reasoning Ability
  8. Advanced Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Python for Placements by Yash Sir, DSA using Python, Object Oriented Programming (OOPS), Programming in C++, Java
  9. TCS Full Length Mock Test:
  10. TCS Interview & Resume Prep: MR & HR Interview Preparation, TCS Interview Preparation, Mock Interview, Interview Recordings, Resume Preparation, Resume Review
  11. Mega Test:
  12. Grand Test:
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

  1. 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. 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.

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