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

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

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08 Feb 2012, 07:56
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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
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08 Feb 2012, 08:11
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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.
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Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

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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
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Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

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05 Oct 2013, 20:58
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Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is [#permalink]

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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).

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Re: If n is an integer, f(n) = f(n-1) - n and f(4)=10. What is   [#permalink] 11 Nov 2014, 05:38
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