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# n is a positive integer

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Founder
Joined: 18 Apr 2015
Posts: 13892
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [0], given: 12919

n is a positive integer [#permalink]  20 Jun 2020, 00:08
Expert's post
00:00

Question Stats:

80% (00:24) correct 19% (00:14) wrong based on 52 sessions
n is a positive integer

 Quantity A Quantity B $$(0.9)^n$$ $$\frac{1}{2}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 3907
Followers: 163

Kudos [?]: 4766 [1] , given: 70

Re: n is a positive integer [#permalink]  20 Jun 2020, 06:07
1
KUDOS
Expert's post
Carcass wrote:
n is a positive integer

 Quantity A Quantity B $$(0.9)^n$$ $$\frac{1}{2}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation

Key concept: If $$0 < x < 1$$, then the value of $$x^n$$ gets closer and closer to $$0$$, as $$n$$ gets bigger and bigger.

For example:
$$(0.9)^1 = 0.9$$
$$(0.9)^2 = 0.81$$
$$(0.9)^3 = 0.729$$
$$(0.9)^4 = 0.6561$$
.
.
.
etc

So, when n = 1, Quantity A is greater
When n = 1000, Quantity B is greater

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: n is a positive integer   [#permalink] 20 Jun 2020, 06:07
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