good questions in binomial theorm.

JEE Main 2015 Questions › 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

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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}

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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

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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.........????

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21

amit sahoo ·2009-03-11 08:22:30

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

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1

Akand ·2009-03-11 08:27:07

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

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amit sahoo ·2009-03-11 08:36:42

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

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