GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Apr 2019, 09:33

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

Confirm Cancel

There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the

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

Hide Tags

 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7224
GMAT 1: 760 Q51 V42
GPA: 3.82
There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the  [#permalink]

Show Tags

New post 08 Aug 2017, 18:10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:41) correct 16% (02:14) wrong based on 72 sessions

HideShow timer Statistics

There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the sequence is the sum of the 3 previous numbers. r=?

A. -2
B. -1
C. 0
D. 1
E. 2

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the  [#permalink]

Show Tags

New post 08 Aug 2017, 20:02
MathRevolution wrote:
There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the sequence is the sum of the 3 previous numbers. r=?

A. -2
B. -1
C. 0
D. 1
E. 2


This sequence is possible when r = -2, s = 5, t = -2 as r+s+t = 1.
To double check whether the numbers we have selected are correct,
we also have s + t + 1 = 4 to prove that the numbers chosen are correct.

Hence, it is clear that Option A(r = -2) is our correct answer.
_________________
You've got what it takes, but it will take everything you've got
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the  [#permalink]

Show Tags

New post 08 Aug 2017, 23:18
MathRevolution wrote:
There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the sequence is the sum of the 3 previous numbers. r=?

A. -2
B. -1
C. 0
D. 1
E. 2


We can solve this question by solving from last right number.

Given Each number of the sequence is the sum of the \(3\) previous numbers.Therefore;

\(26 = (15 + 8 + 3) => 26\)

\(15 = (8 + 3 + 4) => 15\)

\(8 = (3 + 4 + 1) => 8\)

\(3 = (4 + 1 + s) => 5 + s\)

\(s = 3 - 5 => -2\)

\(4 = (1 + s + t)\)

\(4 = 1 - 2 + t => -1 + t\)

\(t = 4 + 1 => 5\)

\(1 = (s + t + r)\)

\(1 = -2 + 5 + r => 3 + r\)

\(r = 1 - 3 => -2\)

Answer (A)...

_________________
Please Press "+1 Kudos" to appreciate. :)
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7224
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the  [#permalink]

Show Tags

New post 10 Aug 2017, 01:14
==> You get r+t+s=1, from t+s+1=4, you get t+s=3, and from r+t+s=r+3=1, you get r=1-3=-2.

The answer is A.
Answer: A
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Senior Manager
Senior Manager
User avatar
P
Joined: 29 Jun 2017
Posts: 454
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Reviews Badge
Re: There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the  [#permalink]

Show Tags

New post 13 Aug 2017, 12:25
Answer is A
r,s,t,1,4,3,8,1,5,26
3= 4+1+t , t=-2
4=1+(-2)+s, s=5
1=r+5+(-2) , r=-2
_________________
Give Kudos for correct answer and/or if you like the solution.
GMAT Club Bot
Re: There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the   [#permalink] 13 Aug 2017, 12:25
Display posts from previous: Sort by

There is a sequence of r, t, s, 1, 4, 3, 8, 15, 26. Each number of the

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


Copyright

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

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

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®.