Chapters  /  Sequence and Series

Class 11 Newest chapter

Sequence and Series

Every Sequence and Series question asked in JEE Main from 2019 to 2025 — 219 of them, sorted topic by topic, each with a full worked solution.

What is inside

Arithmetic Progression

  • Finding terms, common difference and basic properties
  • Sum of n terms (Sₙ)
  • Relationship between Tₙ and Sₙ
  • Two or more A.P.s, and common terms

Geometric Progression

  • Finding terms, common ratio and basic properties
  • Sum of n terms
  • Sum of an infinite G.P.

Harmonic Progression

  • H.P. and its standard results

Relationships between progressions

  • Terms of one progression forming another
  • Progressions involving roots of equations

Means and inequalities

  • Insertion of arithmetic and geometric means
  • AM–GM–HM inequality and related inequalities

Special series and summations

  • Arithmetico-geometric progression (A.G.P.)
  • Method of differences (Vₙ method)
  • Σn, Σn², Σn³
  • Factorials and exponentials
  • Logarithmic summations

Miscellaneous

  • Geometric applications of progressions
  • Recurrence relations and sequences
  • Other mixed problems

Assignments

  • JEE Main PYQ · 2019–2025 · 219 questions, 18 pages, with an answer key
  • Full Worked Solutions · 226 pages, one solution per question

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