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I don't understand what you mean slot straights into above equation. When I simplify the f(3) I get -1 and for f(6) I also get -1. Is that why both are sufficient? I don't understand why Statement 1 the f(3)=14. What I supposed to do something else?

I don't understand what you mean slot straights into above equation. When I simplify the f(3) I get -1 and for f(6) I also get -1. Is that why both are sufficient? I don't understand why Statement 1 the f(3)=14. What I supposed to do something else?

Hii. See the question gives us the relation: \(f(n)=f(n-1)-n\) and the question asks the value of \(f(4)\).

As per the above relation, if we expand \(f(4)\), we get: \(f(4)=f(3)-4\)---------[a]

Now coming to the statements: Statement 1 gives us direct \(f(3)\). We just have to put in equation [a]. Statement 2 gives us \(f(6)=-1\). \(f(6)\) can be expanded as \(f(5)\)-6. Moreover \(f(5)\) can be expanded as \(f(4)-5\). Put this value of \(f(5)\) in the former one. It will become \(f(6)=f(4)-9\), which will gives the value of \(f(4)\) as 10.

Both are sufficient. Hope that helps.
_________________

I don't understand what you mean slot straights into above equation. When I simplify the f(3) I get -1 and for f(6) I also get -1. Is that why both are sufficient? I don't understand why Statement 1 the f(3)=14. What I supposed to do something else?

Hii. See the question gives us the relation: \(f(n)=f(n-1)-n\) and the question asks the value of \(f(4)\).

As per the above relation, if we expand \(f(4)\), we get: \(f(4)=f(3)-4\)---------[a]

Now coming to the statements: Statement 1 gives us direct \(f(3)\). We just have to put in equation [a]. Statement 2 gives us \(f(6)=-1\). \(f(6)\) can be expanded as \(f(5)\)-6. Moreover \(f(5)\) can be expanded as \(f(4)-5\). Put this value of \(f(5)\) in the former one. It will become \(f(6)=f(4)-9\), which will gives the value of \(f(4)\) as 10.

Both are sufficient. Hope that helps.

Yes, thank you! But we don't use the =14 anywhere? What's the purpose of it then?

Re: If n is an integer and f(n) = f(n 1) n, what is the value of [#permalink]

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18 Dec 2012, 00:41

In statement 1, put f(3)=14. You will get the answer as 10. In DS, if you know that with the given information a particular question can be solved then rather than trying to find the exact answer, move to the next statement. In the explanation, I did the same.

The equation says f(n) = f(n-1) - n (1) states f(3)=14 and we need to find f(4) so as per the equation, f(4) = f(4-1) -4 ==> f(4)=f(3)-4 ==> f(4)=14-4=10 So (1) is sufficient...Hope explanation for (2) is already clear. And this expalins the use of f(3)=14 as well. So the answer is D
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I don't understand what you mean slot straights into above equation. When I simplify the f(3) I get -1 and for f(6) I also get -1. Is that why both are sufficient? I don't understand why Statement 1 the f(3)=14. What I supposed to do something else?

Re: If n is an integer and f(n) = f(n 1) n, what is the value of [#permalink]

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31 Jan 2014, 10:49

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Re: If n is an integer and f(n) = f(n 1) n, what is the value of [#permalink]

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21 Mar 2016, 04:32

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.
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