IITJEE Mains • Mathematics New Syllabus
Module 06: Sequences & Series Hub
Master the patterns of numbers and infinite sums. Explore Arithmetic, Geometric, and Harmonic Progressions, means inequalities, and the summation of special series.
Topic 1.1 • Arithmetic Progression
General Term (nth term), Sum of n Terms, and Selection of Terms in A.P.
Topic 1.2 • Properties & Means
Properties of A.P., Arithmetic Mean (A.M.), and Insertion of n A.M.s
Topic 2.1 • Geometric Progression
nth Term, Sum of n terms of a G.P., and Important Properties
Topic 2.2 • Infinite G.P. & Means
Sum of an Infinite G.P., Geometric Mean (G.M.), and Insertion of n G.M.s
Topic 3.1 • Harmonic Progression
Concept of H.P., nth term, Harmonic Mean (H.M.), and Insertion of n H.M.s
Topic 3.2 • Mathematical Inequalities
Relationship between A.M., G.M., and H.M. (AM ≥ GM ≥ HM) and Applications
Topic 4.1 • Mixed Progressions
Arithmetico-Geometric Progression (A.G.P.) and Sum to n terms/Infinity
Topic 4.2 • Summation