Skip to main content
Super TutorResources
Chapter 6 of 10
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Sequences and Series

NIOS · Class 12 · Mathematics

Complete topic list for Sequences and Series in NIOS Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Sequences and Series? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

Illustrates the definition of a sequence as an ordered collection of objects, showing how terms are indexed by natural numbers and providing simple examples.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started
4 Topics · NIOS Class 12 Mathematics

Topics in Sequences and Series

1

1. Concept of Sequences

  • A sequence is a collection of numbers arranged in a definite order following a specific rule
  • Each number in a sequence is called a term, denoted as a₁, a₂, a₃, ..., aₙ
  • The nth term (general term) can be expressed as aₙ or tₙ
2

2. Arithmetic Progression (A.P.)

  • An A.P. is a sequence where the difference between consecutive terms is constant
  • This constant difference is called the common difference, denoted as 'd'
  • General form: a, a+d, a+2d, a+3d, ..., where 'a' is the first term
3

3. Arithmetic Mean (A.M.)

  • If three numbers a, A, b are in A.P., then A is the arithmetic mean between a and b
  • The arithmetic mean of two numbers is their average: A = (a + b)/2
  • Any number of arithmetic means can be inserted between two given numbers
4

4. Geometric Progression (G.P.)

  • A G.P. is a sequence where the ratio of consecutive terms is constant
  • This constant ratio is called the common ratio, denoted as 'r'
  • General form: a, ar, ar², ar³, ..., where 'a' is the first term and r ≠ 0, r ≠ 1

Key Concepts

A sequence is an ordered collectionAnThe common difference (d) isThis formula allows finding the nthThis formula calculates the sum

Frequently Asked Questions

What are the important topics in Sequences and Series for NIOS Class 12 Mathematics?
Key topics in Sequences and Series include Sequences and Series – Complete Chapter Overview, Sequences and Series - Comprehensive Overview, Mind map showing the structure and types of sequences with key characteristics. These are the concepts NIOS Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Sequences and Series — NIOS Class 12 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Sequences and Series

All 10 chapters — NIOS Class 12 Mathematics Syllabus

For serious students

Get the full Sequences and Series chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for NIOS Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free