Find the co-efficient of x n in 1 -2 x - 3 x 2 - 4 x 3 - 1-2-

We have, x ^ n #160; in #160; ( 1 +2 x + 3 x ^ 2 + 4 x ^ 3 +....... ) =(1 x)^ 2 .Now, x ^ n #160; in #160; ( 1 +2 x + 3 x ...

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Binomial Expression

Find the co-e...

Question

Find the co-efficient of $x^{n}$ in ${(1 + 2 x + 3 x^{2} + 4 x^{3} + . . . . . . .)}^{\frac{1}{2}}$ .

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Solution

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Similar questions

x^{n}

(1 - 2 x + 3 x^{2} - 4 x^{3} + \dots \dots \infty)^{2}

x^{n}

{(1 - 2 x + 3 x^{2} - 4 x^{3} + . . .)}^{- n}

x^{n}

(1 - 2 x + 3 x^{2} - 4 x^{3} + . . . .)^{- n}

If |x| < 1, then in the expansion of

$(1 + 2 x + 3 x^{2} + 4 x^{3} + . . . . . . .)^{\frac{1}{2}}$ , the coefficient of $x^{n}$ is

1 + 2 x + 3 x^{2} + 4 x^{3} + . . . . .

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