Four positive numbers, $$\(a, b, c\)$$, and $$\(d\)$$, have the property that $$\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)$$ and $$\(a> d\)$$ . If $$\(\frac{a-d}{b-c}> x\)$$ for all such $$\(a, b, c\)$$, and $$\(d\)$$, what is the maximum value of $$\(x\)$$ ?

A.
2
B.
3
C.
4
D.
8
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:26

Answer:

B

Knowledge points:

G10-12 - Algebra - Sequences & Series (Arithmetic, Geometric, Recursive)

Solution:

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