It is currently 23 Jun 2017, 22:59

### 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

# Events & Promotions

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

# If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is

Author Message
TAGS:

### Hide Tags

Intern
Joined: 18 Jan 2012
Posts: 22
If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

### Show Tags

08 Feb 2012, 07:56
3
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:57) correct 29% (01:03) wrong based on 311 sessions

### HideShow timer Statistics

If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is the value of f(6)?

A. -1
B. 0
C. 1
D. 2
E. 4
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Feb 2012, 08:12, edited 1 time in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 39622

### Show Tags

08 Feb 2012, 08:11
1
KUDOS
Expert's post
If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is the value of f(6)?
A. -1
B. 0
C. 1
D. 2
E. 4

Since f(n)=f(n-1)-n then: f(6)=f(5)-6 and f(5)=f(4)-5.

As given that f(4)=10 then f(5)=10-5=5 --> substitute the value of f(5) back into the first equation: f(6)=f(5)-6=5-6=-1.

Questions on funtions to practice:
PS: search.php?search_id=tag&tag_id=61
DS: search.php?search_id=tag&tag_id=40

Hope it helps.
_________________
Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 176
Location: India
WE: Information Technology (Investment Banking)
Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

### Show Tags

09 Feb 2012, 21:38
take n =5 so f(5) = f(4)-5 = 5
now f(6) = f(5)-6 = 6-6 = -1
OA is A
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15934
Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

### Show Tags

05 Oct 2013, 20:58
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15934
Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

### Show Tags

11 Nov 2014, 05:38
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15934
Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

### Show Tags

10 Sep 2016, 08:06
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.
_________________
Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is   [#permalink] 10 Sep 2016, 08:06
Similar topics Replies Last post
Similar
Topics:
1 For positive integer n, function f(n), which is the number of positive 1 05 Mar 2016, 04:43
27 f(n) is defined as multiplication of Integers from 1 to n (both inclus 19 10 Jun 2017, 07:30
4 F(n) is defined by the equation F(n)=F(n−1)+n for every integer n grea 2 29 Mar 2017, 06:33
11 If the function f(n) is defined as f(n) = n/(n + 1), for all integer 6 23 Oct 2016, 22:06
5 If for any number N, f(N) is defined as the least integer 3 09 Sep 2016, 04:42
Display posts from previous: Sort by