Consider a G.P. with first term (1+x)n, ∣x∣<1, common ratio 21+x and number of terms (n+1). Let ′S′ be sum of all the terms of the G.P., then The coefficient of xn is ′S′ is

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Consider a {G}.{P}. with first term {({1}+{x})}^{{{n}}}, {|{x}

Question

Consider a $G . P .$ with first term $(1 + x)^{n}$ , $∣ x ∣ < 1$ , common ratio $\frac{1 + x}{2}$ and number of terms $(n + 1)$ . Let $^{'} S^{'}$ be sum of all the terms of the $G . P .$ , then
The coefficient of $x^{n}$ is $^{'} S^{'}$ is

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Alexander Discussed

Consider a

G . P .

with first term

(1 + x)^{n}

∣ x ∣ < 1

, common ratio

\frac{1 + x}{2}

and number of terms

(n + 1)

. Let

^{'} S^{'}

be sum of all the terms of the

G . P .

, then
The coefficient of

x^{n}

^{'} S^{'}

12 mins ago

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