CBSE · Class 9 · Mathematics · Chapter 8

Predicting What Comes Next: Exploring Sequences and Progressions

Explore sequences and progressions by recognising patterns, finding general rules, and predicting how numerical patterns continue.

8 lessons 65 min
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Lessons in this chapter

  1. 1Introduction to SequencesA sequence is a number pattern that remembers who comes next.
  2. 2Explicit Rules for SequencesAn explicit rule skips the queue and jumps directly to any term you want.
  3. 3Recursive Rules for SequencesA recursive rule says, “Ask the previous term”—mathematical word-of-mouth.
  4. 4Arithmetic ProgressionsArithmetic progressions grow by equal steps because consistency is their personality.
  5. 5Sum of the First n Natural NumbersAdding 1 through n looks exhausting until a clever formula does the heavy lifting.
  6. 6Geometric ProgressionsGeometric progressions multiply the drama one term at a time.
  7. 7Geometric Progressions in Fractals and BouncesFractals keep repeating while bounces keep shrinking—both know how to make a pattern last.
  8. 8Chapter Summary and PracticeFind the pattern, predict the term and make sure the sequence of answers adds up.
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