GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 16 Jul 2020, 06:38

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

In a sequence of numbers in which the difference of any two successive

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 65384
In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 15 May 2020, 07:40
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (02:14) correct 30% (02:36) wrong based on 20 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Status: Today a Reader; Tomorrow a Leader.
Joined: 14 Oct 2019
Posts: 406
Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 15 May 2020, 07:47
Tn = a + (n - 1) d, where Tn = nth term and a = first term. Here d = common difference = Tn - Tn-1.
now,4T4=9T9
or, 4[a+3d]=9[a+8d]
or,-5a=60d
or,a=-12d
or,a+12d=0

now,13 times the 13th term
=13T13
=13[a+12d]
=13*0
=0

correct answer A
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 6455
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 15 May 2020, 12:23
1
Bunuel wrote:
In a sequence of numbers in which the difference of any two successive terms is a constant, 4 times the 4th term is equal to 9 times the 9th term, what is 13 times the 13th term ?

A. 0
B. 5
C. 12
D. 13
E. 15


an= a+(n-1)*d
a4 = a1+(3)*d and a9 = a1+8d
given
4*a4 = 9*a9
so we can write as
4a1+12d = 9a1+72d
solve for a1 ; -5a1=60d ;
a1 = -12d
so
a13 = a1+12d
a13 = -12d+12d ; 0
OPTION A
Manager
Manager
User avatar
S
Joined: 09 May 2017
Posts: 76
Location: India
GMAT 1: 610 Q42 V33
GMAT 2: 620 Q45 V31
GPA: 4
WE: Engineering (Energy and Utilities)
Re: In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 16 May 2020, 07:16
given \(4t_4=9t_9\)
rewriting the terms in terms of sequence equation we get
\(4(a+3d)=9(a+8d)\)
solving it we will get \(a+12d=0\)

Now \(a+12d\)= \(t_{13}\)

so if \(t_{13}=0\) then 13 times \(t_{13}\) will be zero too.

Ans A
GMAT Club Bot
Re: In a sequence of numbers in which the difference of any two successive   [#permalink] 16 May 2020, 07:16

In a sequence of numbers in which the difference of any two successive

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





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