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 r=0∑nn+rCr(21)r equals

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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
$r = 0 \sum n^{n + r} C_{r} (\frac{1}{2})^{r}$ equals

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Henry 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

r = 0 \sum n^{n + r} C_{r} (\frac{1}{2})^{r}

equals

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Question Text

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

r = 0 \sum n^{n + r} C_{r} (\frac{1}{2})^{r}

equals

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
$r = 0 \sum n^{n + r} C_{r} (\frac{1}{2})^{r}$ equals

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Practice questions from similar books

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 r=0∑n​n+rCr​(21​)r equals

Filo tutor solution

Practice questions from similar books

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
$r = 0 \sum n^{n + r} C_{r} (\frac{1}{2})^{r}$ equals