JEEA-07 — JEE Advanced Math — Sequences and Series

JEE Advanced Math — Sequences and Series

Sequences and series for JEE Advanced aspirants.

📋 Course Learning Outcomes

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

  1. Analyze inequalities among arithmetic, geometric, harmonic, and power means [Analyze]
  2. Apply the method of differences to closed-form summation of non-standard series [Apply]
  3. Evaluate convergence of infinite series using ratio, root, and comparison tests at an introductory level [Evaluate]
  4. Solve linear and non-linear recurrence relations using characteristic equations and substitution [Apply]
  5. Investigate power series expansions of standard functions and their interval of convergence [Analyze]
  6. Solve JEE Advanced paragraph and integer problems on sequences and series [Evaluate]

📚 Chapters

  1. Arithmetic, Geometric and Harmonic Progressions
  2. Arithmetic-Geometric Progression
  3. Means and Inequalities Among Means
  4. Sum of Special Series
  5. Method of Differences
  6. Telescoping Sums
  7. Convergence of Infinite Series — Introduction
  8. Power Series — Conceptual
  9. Recurrence Relations
  10. Mixed Advanced Problems

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