In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 05 Dec 2016, 02:31
GMAT Club Tests

ISB

results are coming out; Check your application portal. Join chat room for live updates


Close

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
Your Progress

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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35865
Followers: 6837

Kudos [?]: 89906 [0], given: 10382

In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 05 Mar 2014, 01:20
Expert's post
19
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (02:43) correct 35% (03:02) wrong based on 513 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

In the sequence \(x_0, \ x_1, \ x_2, \ ... \ x_n\), each term from \(x_1\) to \(x_k\) is 3 greater than the previous term, and each term from \(x_{k+1}\) to \(x_n\) is 3 less than the previous term, where \(n\) and \(k\) are positive integers and \(k<n\). If \(x_0=x_n=0\) and if \(x_k=15\), what is the value of \(n\)?

(A) 5
(B) 6
(C) 9
(D) 10
(E) 15

Problem Solving
Question: 131
Category: Algebra Sequences
Page: 78
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35865
Followers: 6837

Kudos [?]: 89906 [2] , given: 10382

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 05 Mar 2014, 01:20
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
SOLUTION

In the sequence \(x_0, \ x_1, \ x_2, \ ... \ x_n\), each term from \(x_1\) to \(x_k\) is 3 greater than the previous term, and each term from \(x_{k+1}\) to \(x_n\) is 3 less than the previous term, where \(n\) and \(k\) are positive integers and \(k<n\). If \(x_0=x_n=0\) and if \(x_k=15\), what is the value of \(n\)?

(A) 5
(B) 6
(C) 9
(D) 10
(E) 15

Probably the easiest way will be to write down all the terms in the sequence from \(x_0=0\) to \(x_n=0\). Note that each term from from \(x_0=0\) to \(x_k=15\) is 3 greater than the previous and each term from \(x_{k+1}\) to \(x_n\) is 3 less than the previous term:

So we'll have: \(x_0=0\), 3, 6, 9, 12, \(x_k=15\), 12, 9, 6, 3, \(x_n=0\). So we have 11 terms from \(x_0\) to \(x_n\) thus \(n=10\).

Answer: D.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 43

Kudos [?]: 1830 [0], given: 193

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 05 Mar 2014, 19:25
1
This post was
BOOKMARKED
Answer = D = 10

Series will be formed as below starting from x0 = 0 & ending up with x10 = 0

xk = 15

0, 3, 6, 9, 12, 15, 12, 9, 6, 3, 0
_________________

Kindly press "+1 Kudos" to appreciate :)

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35865
Followers: 6837

Kudos [?]: 89906 [0], given: 10382

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 08 Mar 2014, 11:40
Expert's post
1
This post was
BOOKMARKED
SOLUTION

In the sequence \(x_0, \ x_1, \ x_2, \ ... \ x_n\), each term from \(x_1\) to \(x_k\) is 3 greater than the previous term, and each term from \(x_{k+1}\) to \(x_n\) is 3 less than the previous term, where \(n\) and \(k\) are positive integers and \(k<n\). If \(x_0=x_n=0\) and if \(x_k=15\), what is the value of \(n\)?

(A) 5
(B) 6
(C) 9
(D) 10
(E) 15

Probably the easiest way will be to write down all the terms in the sequence from \(x_0=0\) to \(x_n=0\). Note that each term from from \(x_0=0\) to \(x_k=15\) is 3 greater than the previous and each term from \(x_{k+1}\) to \(x_n\) is 3 less than the previous term:

So we'll have: \(x_0=0\), 3, 6, 9, 12, \(x_k=15\), 12, 9, 6, 3, \(x_n=0\). So we have 11 terms from \(x_0\) to \(x_n\) thus \(n=10\).

Answer: D.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 28 May 2014
Posts: 64
Schools: NTU '16
GMAT 1: 620 Q49 V27
Followers: 0

Kudos [?]: 1 [0], given: 31

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 26 Jul 2014, 21:17
Bunuel,

If the total terms ins sequence are 11, how is the no of terms n 10? Can you please explain? Thanks in advance.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35865
Followers: 6837

Kudos [?]: 89906 [1] , given: 10382

In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 27 Jul 2014, 02:25
1
This post received
KUDOS
Expert's post
Manager
Manager
avatar
Joined: 28 May 2014
Posts: 64
Schools: NTU '16
GMAT 1: 620 Q49 V27
Followers: 0

Kudos [?]: 1 [0], given: 31

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 27 Jul 2014, 05:53
Yes so the correct ans should be 11 which is not present in any of the options.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35865
Followers: 6837

Kudos [?]: 89906 [1] , given: 10382

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 27 Jul 2014, 08:28
1
This post received
KUDOS
Expert's post
1 KUDOS received
Manager
Manager
avatar
Joined: 28 May 2014
Posts: 64
Schools: NTU '16
GMAT 1: 620 Q49 V27
Followers: 0

Kudos [?]: 1 [1] , given: 31

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 28 Jul 2014, 08:27
1
This post received
KUDOS
Got it now. Thanks a lot Bunuel.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12871
Followers: 559

Kudos [?]: 157 [0], given: 0

Premium Member
Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 28 Sep 2015, 16:34
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12871
Followers: 559

Kudos [?]: 157 [0], given: 0

Premium Member
Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk [#permalink]

Show Tags

New post 13 Nov 2016, 16:07
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk   [#permalink] 13 Nov 2016, 16:07
    Similar topics Author Replies Last post
Similar
Topics:
36 Experts publish their posts in the topic In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk mydreammba 21 26 Jan 2012, 03:15
10 Experts publish their posts in the topic In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk tonebeeze 10 14 Dec 2010, 16:40
12 Experts publish their posts in the topic If the sequence x1, x2, x3, ... xn, ... is such that x1 = 3 kwhitejr 4 04 Aug 2010, 03:17
20 Experts publish their posts in the topic If the sequence x_1, x_2, x_3, …, x_n, ... is such that x_1 eresh 8 15 Oct 2009, 16:58
23 Experts publish their posts in the topic If the sequence x1, x2, x3, …, xn, … is such that x1 = 3 gurpreet07 13 16 Sep 2009, 23:05
Display posts from previous: Sort by

In the Sequence x0, x1, x2, ..., xn, each term from x1 to xk

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.