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

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New post Updated on: 18 Nov 2019, 09:26
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Question # 49, Date : 18-Nov-2019
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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.

X1X2Ans. 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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New post 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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New post 18 Nov 2019, 09:27
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New post 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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