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# For each positive integer i, the quantity xi is defined such that xi =

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For each positive integer i, the quantity xi is defined such that xi =  [#permalink]

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Updated on: 18 Nov 2019, 09:26
Project IR Butler 2019-20 - Get one IR Question Everyday
Question # 49, Date : 18-Nov-2019
This post is a part of Project IR Butler 2019-20. Click here for Details

For each positive integer $$i$$, the quantity $$xi$$ is defined such that $$xi = xi+1 * ( xi+2)2$$

In addition, $$x3 = 1$$. In the table, select values for $$x1$$ and $$x4$$ that are jointly compatible with these conditions. Select only two values, one in each column.

 X1 X2 Ans. Value A. A. 2 B. B. 3 C. C. 7 D. D. 10 E. E. 25 F. F. 100

Originally posted by janxavier on 10 Jul 2014, 09:35.
Last edited by SajjadAhmad on 18 Nov 2019, 09:26, edited 2 times in total.
Updated - Complete topic (154).
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Re: For each positive integer i, the quantity xi is defined such that xi =  [#permalink]

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26 Jul 2014, 09:05
1
Hello janxavier,

Let me reword the equation so its a bit easier to read: $$x_i =(x_{i+1}) *(x_{i+2}) * 2$$

Since $$x_1 = x_2 * x_3 * 2$$, substitute in $$x_2 = x_3 * x_4 * 2$$ yields $$x_1 = x_3 * x_3* x_4 * 4$$. Since $$x_3 = 1$$, then $$x_1 = x_4 * 4$$

The two values that have a ratio of 1:4 is E & F. I am assuming that $$x_2 = x_4$$ in your table, so $$x_1 = 100$$ and $$x_1=25$$
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Re: For each positive integer i, the quantity xi is defined such that xi =  [#permalink]

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18 Nov 2019, 09:27
+1 Kudos to posts containing answer with explanation
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Re: For each positive integer i, the quantity xi is defined such that xi =  [#permalink]

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18 Nov 2019, 09:38
X1 = X2*X3*2
X2= X3*X4*2
So from these two X1=4X4
So X1=100, X4=25

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Re: For each positive integer i, the quantity xi is defined such that xi =   [#permalink] 18 Nov 2019, 09:38
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# For each positive integer i, the quantity xi is defined such that xi =

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