Number Sequences in Algebraic terms - Two- part analysis : Integrated Reasoning (IR)
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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]

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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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26 Jul 2014, 08:05
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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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