Last visit was: 15 Jul 2024, 14:26 It is currently 15 Jul 2024, 14:26
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If f(5) = 12, what is the value of f(1)

SORT BY:
Tags:
Show Tags
Hide Tags
CEO
Joined: 26 Feb 2016
Posts: 2865
Own Kudos [?]: 5313 [11]
Given Kudos: 47
Location: India
GPA: 3.12
Retired Moderator
Joined: 25 Feb 2013
Posts: 893
Own Kudos [?]: 1554 [2]
Given Kudos: 54
Location: India
GPA: 3.82
Target Test Prep Representative
Joined: 04 Mar 2011
Affiliations: Target Test Prep
Posts: 3036
Own Kudos [?]: 6570 [3]
Given Kudos: 1646
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4918
Own Kudos [?]: 7800 [0]
Given Kudos: 220
Location: India
Re: If f(5) = 12, what is the value of f(1) [#permalink]
Top Contributor
Rearranging the terms gives us f(n) = 2 * [f(n + 1) - n]

When n = 4, f(4) = 2 * [f(5) - 4] = 2 * (12 - 4) = 2 * 8 = 16

When n = 3, f(3) = 2 * [f(4) - 3] = 2 * (16 - 3) = 2 * 13 = 26

When n = 2, f(2) = 2 * [f(3) - 2] = 2 * (26 - 2) = 2 * 24 = 48

When n = 1, f(1) = 2 * [f(2) - 1] = 2 * (48 - 1) = 2 * 47 = 94

Option D

Arun Kumar
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5283
Own Kudos [?]: 4183 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Re: If f(5) = 12, what is the value of f(1) [#permalink]
Given: f(n+1) = n + $$\frac{f(n)}{2}$$

Asked: If f(5) = 12, what is the value of f(1)?

f(5) = 4 + f(4)/2 = 12
f(4) = 16 = 3 + f(3)/2
f(3) = 26 = 2 + f(2)/2
f(2) = 48 = 1+ f(1)/2
f(1) = 94

IMO D
Non-Human User
Joined: 09 Sep 2013
Posts: 33980
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: If f(5) = 12, what is the value of f(1) [#permalink]
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 f(5) = 12, what is the value of f(1) [#permalink]
Moderator:
Math Expert
94354 posts