Mathematical inductions Topics - IIT JEE Syllabus

1

2m3/10

📌 Key FormulaStep 1: Base case, Step 2: Inductive hypothesis, Step 3: Inductive step.

2

2m3/10

📌 Key FormulaProof of summation formulas, inequalities, divisibility.

3

2m3/10

📌 Key Formula(a+b)ⁿ = Σ ⁿCᵣ aⁿ⁻ʳ bʳ

4

2m3/10

📌 Key FormulaTᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ, Middle term(s) depend on n.

5

2m4/10

📌 Key FormulaⁿC₀ + ⁿC₁ + ... + ⁿCₙ = 2ⁿ, ⁿC₀ - ⁿC₁ + ... + (-1)ⁿ ⁿCₙ = 0