It is currently 17 Dec 2017, 02:19

### 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
Your Progress

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# For all integers n, the function f is defined by f (n) = a^n

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 13 Jun 2005
Posts: 252

Kudos [?]: 19 [0], given: 0

Location: Haverhill, MA
For all integers n, the function f is defined by f (n) = a^n [#permalink]

### Show Tags

17 Jan 2006, 17:20
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

71% (00:49) correct 29% (00:46) wrong based on 343 sessions

### HideShow timer Statistics

For all integers n, the function f is defined by f (n) = a^n, where a is a constant. What is the value of f (1)?

(1) f (2) = 100
(2) f (3) = -1,000
[Reveal] Spoiler: OA

Kudos [?]: 19 [0], given: 0

VP
Joined: 20 Sep 2005
Posts: 1016

Kudos [?]: 39 [0], given: 0

### Show Tags

17 Jan 2006, 17:28
B.

1. f(2) = a^2 = 100. a = 10,-10...INSUFF.
2. f(3) = a^3 = -1000. a = -10....Thus a(1) = (-10)^1 = -10..SUFF.

Kudos [?]: 39 [0], given: 0

SVP
Joined: 16 Oct 2003
Posts: 1798

Kudos [?]: 174 [0], given: 0

### Show Tags

17 Jan 2006, 18:17
B

From I We get +10 or -10
From II we get 1- so f(1) = -10.

Kudos [?]: 174 [0], given: 0

Director
Joined: 04 Oct 2005
Posts: 582

Kudos [?]: 8 [0], given: 0

Location: Chicago

### Show Tags

17 Jan 2006, 21:55
B is suffiecient

a) gives us a=+ or -10 so INSUFF
b) gives us a=-10 so sufficient

Kudos [?]: 8 [0], given: 0

CEO
Joined: 20 Nov 2005
Posts: 2892

Kudos [?]: 337 [0], given: 0

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

### Show Tags

18 Jan 2006, 01:44
B

f(1) = a we need to find a.

St1: f(2) = a^2 = 100. So a = -10 or 10 INSUFF

St2: f(3) = a^3 = -1000. So a = -10. SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 337 [0], given: 0

Manager
Joined: 17 Jul 2010
Posts: 122

Kudos [?]: 57 [0], given: 43

Re: For all integers n, the function f is defined by f (n) = [#permalink]

### Show Tags

06 May 2013, 20:24
Can someone help me here, IF the question is a value question such as this one, statement one provides two values (+10) or (-10), I'm under the impression that the values are found,
but the gmat wants one value, is this true for all DS questions, the value cannot have two or more possibilities, correct?

Thanks,

Kudos [?]: 57 [0], given: 43

Math Expert
Joined: 02 Sep 2009
Posts: 42646

Kudos [?]: 135919 [1], given: 12716

Re: For all integers n, the function f is defined by f (n) = [#permalink]

### Show Tags

06 May 2013, 23:01
1
This post received
KUDOS
Expert's post
laythesmack23 wrote:
Can someone help me here, IF the question is a value question such as this one, statement one provides two values (+10) or (-10), I'm under the impression that the values are found,
but the gmat wants one value, is this true for all DS questions, the value cannot have two or more possibilities, correct?

Thanks,

There are two kinds of data sufficient questions: YES/NO DS questions and DS questions which ask to find a value.

In a Yes/No Data Sufficiency questions, statement is sufficient if the answer is “always yes” or “always no” while a statement is insufficient if the answer is "sometimes yes" and "sometimes no".

When a DS question asks about the value of some variable, then the statement is sufficient ONLY if you can get the single numerical value of this variable.

BACK TO THE QUESTION.
For all integers n, the function f is defined by f (n) = a^n, where a is a constant. What is the value of f (1)?

$$f(1)=a^1=a$$, so basically the question is: what is the value of $$a$$?

(1) f(2) = 100 --> $$f(2)=100=a^2$$ --> $$a=10$$ or $$a=-10$$. Two answers, not sufficient.

(2) f(3) = -1,000 --> --> $$f(3)=-1,000=a^3$$ --> only one solution: $$a=-10$$. Sufficient.

Answer: B.

Hope it's clear.
_________________

Kudos [?]: 135919 [1], given: 12716

Manager
Joined: 17 Jul 2010
Posts: 122

Kudos [?]: 57 [0], given: 43

Re: For all integers n, the function f is defined by f (n) = a^n [#permalink]

### Show Tags

07 May 2013, 05:12
Super clear explanation, thank you Banuel.

Kudos [?]: 57 [0], given: 43

Non-Human User
Joined: 09 Sep 2013
Posts: 14796

Kudos [?]: 288 [0], given: 0

Re: For all integers n, the function f is defined by f (n) = a^n [#permalink]

### Show Tags

29 Jan 2016, 13:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 288 [0], given: 0

Re: For all integers n, the function f is defined by f (n) = a^n   [#permalink] 29 Jan 2016, 13:11
Display posts from previous: Sort by

# For all integers n, the function f is defined by f (n) = a^n

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.