In the infinite sequence A,,
where x is a positive integer constant. For what value of n is the ratio
ofto
equal to
?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
source: mgmat
In the infinite sequence A,,
where x is a positive integer constant. For what value of n is the ratio
ofto
equal to
?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
source: mgmat

is it B ? n = 7
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I wud go for B too... whats the answer..!
I get answer of 7, or B, too. How would you approach this problem in general other than plugging in the answers after expanding the denominator?
any more thoughts on this one
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The method I followed was to reduce the Q to (x^6/ x ) * ( Y/Y)
the eqn An= (x ^ n -1)(1+ x + x^2 + x^3 +.... ) ----------------------------(1)
and the eqn x(1+x(1+x(1+x...))))
which i call Z can be reduced to x( 1+x+x^2+x^3 ..) --------(2)
from (1) and (2) we get An / Z = x^(n-1) / x
therefore for getting answer x^5 (n-1) = 6
therefore n=7
Ans: B
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Sargataur, is this the type of question one would encounter on the GMAT?Originally Posted by Sargataur

[QUOTE=Stormgal]In the infinite sequence A,,
where x is a positive integer constant. For what value of n is the ratio
ofto
equal to
?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
the answer is B
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