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Recent questions tagged infinite-geometric-progression
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CAT 2017 Set-2 | Question: 99
An infinite geometric progression $a_{1},a_{2},a_{3},\dots\dots$ has the property that $a_n =3(a_{n+1}+a_{n+2}+\dots\dots)$ for every $n\geq 1$. If the sum $a_{1}+a_{2}+a_{3}+\dots\dots=32,$ then $a_{5}$ is $1/32$ $2/32$ $3/32$ $4/32$
An infinite geometric progression $a_{1},a_{2},a_{3},\dots\dots$ has the property that $a_n =3(a_{n+1}+a_{n+2}+\dots\dots)$ for every $n\geq 1$. If the sum $a_{1}+a_{2}+a...
go_editor
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go_editor
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Mar 16, 2020
Quantitative Aptitude
cat2017-2
quantitative-aptitude
geometric-progression
infinite-geometric-progression
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1
votes
1
answer
2
CAT 2010 | Question: 10
Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$ where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ is $\dfrac{1}{2}n\left ( n+3 \right ), \left ( n=1,2,\ldots \right ).$ Then $\text{S}$ equals $\frac{2-x}{(1-x)^{3}}$ $\frac{2-x}{(1+x)^{3}}$ $\frac{2+x}{(1-x)^{3}}$ $\frac{2+x}{(1+x)^{3}}$
Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ is $\dfrac{1}{2}n\left ( n+3 \right )...
Arjun
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Arjun
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Mar 1, 2020
Quantitative Aptitude
cat2010
quantitative-aptitude
infinite-geometric-progression
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–
0
votes
1
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3
CAT 2003 | Question: 2-69
The infinite sum $1 + \frac{4}{7} + \frac{9}{7^2} + \frac{16}{7^3} + \frac{25}{7^4} + \dots$ equals $\frac{27}{14}$ $\frac{21}{13}$ $\frac{49}{27}$ $\frac{256}{147}$
The infinite sum $1 + \frac{4}{7} + \frac{9}{7^2} + \frac{16}{7^3} + \frac{25}{7^4} + \dots$ equals$\frac{27}{14}$$\frac{21}{13}$$\frac{49}{27}$$\frac{256}{147}$
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13.8k
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491
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May 5, 2016
Quantitative Aptitude
cat2003-2
quantitative-aptitude
infinite-geometric-progression
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0
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0
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4
CAT 2002 | Question: 73
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is $\frac{x(2-x)}{(1-x)^3}$ $\frac{(2-x)}{(1-x)^3}$ $\frac{x(2-x)}{(1-x)^2}$ None of these
Let $S=2x + 5x^2 + 9x^3 + 14x^4 + 20x^5 \dots \dots $ infinity. The coefficient of $n$-th term is$\frac{n(n+3)}{2}$. Then the sum $S$ is$\frac{x(2-x)}{(1-x)^3}$$\frac{(2-...
go_editor
13.8k
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236
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go_editor
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Mar 2, 2016
Quantitative Aptitude
cat2002
quantitative-aptitude
infinite-geometric-progression
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