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Chapter overview
Induction, complex numbers, quadratic equations, counting, binomial theorem, sequences, and series.
Practice ready
15748 MCQs and 9021 written prompts are ready for focused chapter work.
Topics
7
Recall
21
Cards
38
Topic 1
Principle of Mathematical Induction: base step.
Topic 2
Complex Numbers: iota.
Topic 3
Quadratic Equations: roots.
Topic 4
Permutations and Combinations: counting principle.
Topic 5
Binomial Theorem: Pascal triangle.
Topic 6
Sequence and Series: AP.
Topic 7
Study AP, AM, GP, GM, finite and infinite GP sums, and standard sums of natural numbers.
Chapter pack
Topic list
Topic 1
Understand proof by induction and use the induction principle in simple statements about natural numbers.
Topic 2
Work with complex numbers, algebraic properties, Argand plane, polar form, square roots, and cube roots of unity.
Topic 3
Use the fundamental theorem of algebra idea and solve quadratic equations with real coefficients.
Topic 4
Apply the fundamental counting principle, factorial notation, permutations, combinations, and their connections.
Topic 5
Use Pascal's triangle, binomial expansion for positive integral indices, general term, and middle term.
Topic 6
Study AP, AM, GP, GM, finite and infinite GP sums, and standard sums of natural numbers.
Topic 6
Study AP, AM, GP, GM, finite and infinite GP sums, and standard sums of natural numbers.
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