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# If n is a positive integer, is the value of b - a at least

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If n is a positive integer, is the value of b - a at least [#permalink]

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10 Feb 2006, 20:14
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If n is a positive integer, is the value of b - a at least twice the value of 3^n - 2^n?

(1) a = 2^(n+1) and b = 3^(n+1)

(2) n = 3
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10 Feb 2006, 20:46
(1) Sufficient. It will always be almost 3x the value as n goes to infinity.

(2) Insufficient since we do not know a and b.

(A)
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Re: DS - Exponential equations [#permalink]

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10 Feb 2006, 21:44
arichards728 wrote:
If n is a positive integer, is the value of b - a at least twice the value of 3^n - 2^n?

(1) a = 2^(n+1) and b = 3^(n+1)

(2) n = 3

1. the least +ve integer value for n = 1 tells us that (b-a) is more than two times of (3^n - 2^n). so i is enough.

2. is not. therefore,

A.
Re: DS - Exponential equations   [#permalink] 10 Feb 2006, 21:44
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