Skip to main content
Super TutorResources
Chapter 8 of 8
Revision Notes

Predicting What Comes Next : Exploring Sequences and Progressions — Revision Notes

CBSE · Class 9 · Mathematics

Predicting What Comes Next : Exploring Sequences and Progressions revision notes for CBSE Class 9 Mathematics: 4 topics in quick points.

99 questions76 flashcards12 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Predicting What Comes Next : Exploring Sequences and Progressions? Get the full interactive chapter.

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

Try Super Tutor — Free

Free trial, no card needed.

Key Topics to Revise

1

1. Sequences and Terms

  • A sequence is an ordered list of numbers where each number is a term.
  • Sequences may be finite or infinite.
  • Natural numbers, odd numbers, triangular numbers, and square numbers are common sequences.
2

2. Explicit Rules

  • An explicit formula uses the term's position number n to calculate its value.
  • The odd number sequence has explicit rule u_n = 2n - 1.
  • For u_n = 2n - 1, the 137th term is found by solving 2n - 1 = 137, giving n = 69.
3

3. Recursive Rules

  • A recursive rule describes a sequence by linking each term to previous term(s).
  • The earlier terms must be known before the next term can be found.
  • For an AP, the recursive rule is t1 = a, tn = tn-1 + d for n ≥ 2.
4

4. Arithmetic Progressions

  • Such sequences, in which the difference between consecutive terms is constant, are known as arithmetic progressions.
  • An AP has a fixed common difference d.
  • The general form of an AP is a, a + d, a + 2d, ..., a + (n - 1) × d.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A sequence is an ordered listA finite sequence has a limitedAn explicit formula uses the termA recursive rule gives a termThe odd number sequence is 1

Frequently Asked Questions

What are the important topics in Predicting What Comes Next : Exploring Sequences and Progressions for CBSE Class 9 Mathematics?
Key topics in Predicting What Comes Next : Exploring Sequences and Progressions include Sequences and Terms, Explicit Rules, Recursive Rules, Arithmetic Progressions. Study these first, then practise questions on each for Class 9 exams.
How should I revise Predicting What Comes Next : Exploring Sequences and Progressions for Class 9 exams?
Learn the core ideas first, then work through the 99 practice questions on Predicting What Comes Next : Exploring Sequences and Progressions. Revise 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 Predicting What Comes Next : Exploring Sequences and Progressions

All CBSE Class 9 Mathematics Revision Notes

For serious students

Get the full Predicting What Comes Next : Exploring Sequences and Progressions chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 9 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free