Prove that it is integer..

JEE Main 2015 Sample Questions › Algebra questions › Prove that it is integer..

2nCn/(n+1) is an integer.

#Mathematics #Algebra

UP 0 DOWN 0 1 1
Post on FacebookPost anonymously?

1 Answers

2305

Shaswata Roy ·2013-02-23 09:46:11

²ⁿC_nn+1 = ²ⁿC_n - ²ⁿC_n+1
hence it is always an integer.

²ⁿC_nn+1 is called a Catalan Number and gives us the number of paths that can be drawn from (0,0) to (n,n) such that the y coordinate is never greater than the x coordinate.

UP 5 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

Prove that it is integer..

1 Answers

Your Answer

Add Image

Similar Questions