It is currently 19 Jul 2019, 11:17

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# The function f is defined for all positive integers n as f(

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7386
Followers: 123

Kudos [?]: 1448 [0], given: 6583

The function f is defined for all positive integers n as f( [#permalink]  14 May 2019, 01:15
Expert's post
00:00

Question Stats:

90% (00:22) correct 9% (00:09) wrong based on 21 sessions
The function f is defined for all positive integers n as $$f(n)= \frac{n}{n+1}$$

 Quantity A Quantity B f(1) × f(2) f(2) × f(3)

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 2162
Followers: 64

Kudos [?]: 1975 [1] , given: 19

Re: The function f is defined for all positive integers n as f( [#permalink]  14 May 2019, 07:28
1
KUDOS
Expert's post
Carcass wrote:
The function f is defined for all positive integers n as $$f(n)= \frac{n}{n+1}$$

 Quantity A Quantity B f(1) × f(2) f(2) × f(3)

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

QUANTITY A
f(1) x f(2) $$=\frac{1}{1+1}$$x$$\frac{2}{2+1}$$

$$=\frac{1}{2}$$x$$\frac{2}{3}$$

$$= \frac{1}{3}$$

QUANTITY B
f(2) x f(3) $$=\frac{2}{2+1}$$x$$\frac{3}{3+1}$$

$$=\frac{2}{3}$$x$$\frac{3}{4}$$

$$= \frac{1}{2}$$

Since $$\frac{1}{2}>\frac{1}{3}$$, the correct answer is B

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Intern
Joined: 09 Dec 2018
Posts: 10
Followers: 0

Kudos [?]: 6 [1] , given: 8

Re: The function f is defined for all positive integers n as f( [#permalink]  14 May 2019, 16:27
1
KUDOS
Without doing much work at all, we can see that the larger n gets, the closer f(n) gets to 1. So higher numbers means greater value, even though it's always less than one.
Manager
Joined: 09 Mar 2019
Posts: 53
Followers: 0

Kudos [?]: 12 [1] , given: 0

Re: The function f is defined for all positive integers n as f( [#permalink]  07 Jun 2019, 01:22
1
KUDOS
Cancel f(2) from both the sides and then compare:
f(1)< f(3)
Re: The function f is defined for all positive integers n as f(   [#permalink] 07 Jun 2019, 01:22
Display posts from previous: Sort by