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Sequences & Series: Arithmetic, Geometric, and Telescoping Sums

The Master Guide to Sigma Notation, Infinite Series, and Olympiad Algebra for AMC 12, AIME, and JEE

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The Most Satisfying Moment in Math is When a 100-Term Sum "Collapses" into Two Numbers.

In the high-stakes world of the AMC 12, AIME, and JEE Advanced, students are often confronted with terrifying summation problems involving fractions, radicals, and infinite series.

The average student tries to brute-force the calculation and runs out of time.

The Olympiad student looks for the "Telescope." They know that complex series are often designed to destroy themselves—the middle terms vanish, leaving only the first and the last. This isn't magic; it is structure.

Sequences & Series is the tactical manual for mastering this structure. Written by Rohan Kumar Singh (IIT Madras Alumnus & International Olympiad Gold Medalist), this book takes you beyond basic formulas and into the "Architecture of Algebra."

WHAT YOU WILL MASTER:

  • The Telescoping Technique: Learn to manipulate partial fractions and radicals to make massive sums cancel out instantly.

  • Sigma Notation Mastery: Stop being intimidated by the Σ symbol. Learn to read it like a language.

  • The Classical Progressions: Deep intuition for Arithmetic (AP), Geometric (GP), and Harmonic (HP) progressions.

  • The Infinite: Understand convergence, divergence, and how to sum infinite geometric series with visual proofs.

THE EDUGLOBAL METHOD

Based on the high-performance curriculum at EduGlobal Institute, this book uses a unique "Pattern-First" pedagogy:

  1. Visual Diagnostics: See the stairs of an AP and the spiral of a GP.

  2. Coach’s Insights: Specific shortcuts for spotting "Hidden Telescopes."

  3. The Gauntlet: Real problems from USAMO, JEE, and Regional Olympiads.

ABOUT THE AUTHOR

Rohan Kumar Singh is the Founder & Chief Mentor at EduGlobal Institute. An IIT Madras Alumnus and International Olympiad Gold Medalist, Rohan guides students to Ivy League admits and Gold Medals.

  • 2,400+ Students Mentored

  • 460+ Olympiad Rankers

  • 700+ AP 5/5 Scores

Stop memorizing formulas. Start seeing the patterns.

Master Sequences & Series today.