Last visit was: 31 Dec 2024, 13:59 It is currently 31 Dec 2024, 13:59
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Sn = 3n + 3 Sequence S is defined for each integer n such th

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11279 [7]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   30 Aug 2018, 07:37
Expert Reply
7
Bookmarks
00:00

Question Stats:

78% (01:00) correct 21% (01:38) wrong based on 141 sessions

Hide Show timer Statistics

\(S_n = 3n + 3\)
Sequence S is defined for each integer n such that
0 < n < 10,000.

Quantity A
Quantity B
The median of sequence S
The mean of sequence S


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
C
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12239 [7]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   04 Sep 2018, 10:36
6
1
Bookmarks
sandy wrote:
\(S_n = 3n + 3\)
Sequence S is defined for each integer n such that
0 < n < 10,000.

Quantity A
Quantity B
The median of sequence S
The mean of sequence S


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Let's examine a few terms in the sequence.

GIVEN: term_n = 3n + 3
So, term_1 = 3(1) + 3 = 6
term_2 = 3(2) + 3 = 9
term_3 = 3(3) + 3 = 12
term_4 = 3(4) + 3 = 15
term_5 = 3(5) + 3 = 18
etc

So, the sequence looks like this: 6, 9, 12, 15, 18, . . .

KEY CONCEPT: "In a set where the numbers are equally spaced, the mean will equal the median."
For example, in each of the following sets, the mean and median are equal:
{7, 9, 11, 13, 15}
{-1, 4, 9, 14}
{3, 4, 5, 6}

Since the numbers in the given set {6, 9, 12, 15, 18, . . .} are EQUALLY SPACED, the mean must equal the median

Answer: C

Cheers,
Brent
General Discussion
avatar
jewelmme
Intern
Intern
Joined: 03 Sep 2018
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   04 Sep 2018, 01:53
Answer is C
avatar
Nomad
Intern
Intern
Joined: 27 Aug 2018
Posts: 36
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   04 Sep 2018, 07:26
Median of a sequence equals to mean of a sequence. C.
avatar
Yuan
Intern
Intern
Joined: 28 Aug 2018
Posts: 28
Own Kudos [?]: 36 [0]
Given Kudos: 0
GRE 1: Q170 V166
WE:Other (Education)
Send PM
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   04 Sep 2018, 14:10
1
C

Just remember one thing: numbers that are equally spaced always have the same mean and median.

Saves a ton of time during the test.
User avatar
HappyMathtutor
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 146 [1]
Given Kudos: 0
Send PM
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   14 Jan 2019, 01:30
1
Expert Reply
Think about it this way.
The mean and median are equally spaced, like Yuan says. if you know that then there's no need to calculate, but if you forget this rule, keep in mind..

just line up 1,2,3,4,5
the mean of this set is 3 and so is the median

plug each of these numbers into the series 3m+3, and we have

6,9,12,15,18 the median is still the middle of the set (12), and so is the mean (12)

this simpler example is a decent reminder. the answer is C
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5090
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink] New post   24 Jul 2023, 21:23
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]
24 Jul 2023, 21:23
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1126 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact