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Number Sequences in Algebraic terms - Two- part analysis

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Number Sequences in Algebraic terms - Two- part analysis [#permalink] New post 10 Jul 2014, 08:35
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



Official answer not provided . Plz help
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Number Sequences in Algebraic terms - Two- part analysis [#permalink] New post 26 Jul 2014, 08:05
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 \(x_1=25\)
Number Sequences in Algebraic terms - Two- part analysis   [#permalink] 26 Jul 2014, 08:05
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Number Sequences in Algebraic terms - Two- part analysis

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