JEEM-07 — JEE Main Math — Sequences and Series

JEE Main Math — Sequences and Series

Sequences and series for JEE Main aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Compute nth term and sum of arithmetic, geometric, and harmonic progressions [Apply]
  2. Sum arithmetic-geometric series and apply the AM-GM-HM inequality to bound expressions [Apply]
  3. Evaluate sums of special series involving n, n^2, n^3 and apply telescoping techniques [Apply]
  4. Apply the method of differences to find closed forms for non-standard series [Analyze]
  5. Determine convergence and sum of infinite geometric series for given common-ratio ranges [Evaluate]
  6. Solve JEE Main MCQs on sequences by recognizing AP, GP, AGP, or HP patterns rapidly [Apply]

📚 Chapters

  1. Arithmetic Progression
  2. Geometric Progression
  3. Harmonic Progression
  4. Arithmetic-Geometric Progression
  5. Means — AM, GM, HM and Inequalities
  6. Sum of Special Series
  7. Telescoping Series
  8. Method of Differences
  9. Infinite Geometric Series

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