good questions in binomial theorm.

BITSAT Forum › Algebra questions › good questions in binomial theorm.

1)find the value of\sum_{r=1}^{k}{(-3)^{r-1}}}3n_{C}_{2r-1} where k=3n/2 and n is an even positive integer.

#Mathematics #Algebra

UP 0 DOWN 0 0 6
Post on FacebookPost anonymously?

6 Answers

21

amit sahoo ·2009-03-11 08:12:38

2) if n is a positive integer and C_k=ⁿC_k find the value of \sum_{k=1}^{n}k^{3}[C_{k}/C_{k-1}]^{2}

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

amit sahoo ·2009-03-11 08:17:15

find the coefficient of x⁵⁰ in the expression
(1+x)¹⁰⁰⁰ +2x(1+x)⁹⁹⁹ .......1001x¹⁰⁰⁰

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-03-11 08:17:29

dude im getting complex tooooo waahhhhh......... for example if i take n as 4....
then k=6......so (-3)⁵.........????

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

amit sahoo ·2009-03-11 08:22:30

i never mentioned that solution only caters to real numbers. did I??????

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-03-11 08:27:07

k.......
¹⁰⁰⁰C₉₅₀+2⁹⁹⁹C₉₅₀......51⁹⁵⁰C₉₅₀

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

amit sahoo ·2009-03-11 08:36:42

well the answer is ¹⁰⁰²C₅₀ for the third one. have you got arithmetico geometric relation somewhere ???

UP 0 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