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

It is currently 30 May 2020, 05:26

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 geometric sequence, each term is a constant multiple of the pre

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

Hide Tags

Find Similar Topics 
GMAT Club team member
User avatar
V
Status: GMAT Club Team Member
Affiliations: GMAT Club
Joined: 02 Nov 2016
Posts: 5930
GPA: 3.62
In a geometric sequence, each term is a constant multiple of the pre  [#permalink]

Show Tags

New post 12 Mar 2020, 04:49
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:58) correct 11% (01:25) wrong based on 47 sessions

HideShow timer Statistics

In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?

(A) -32
(B) -4
(C) 2
(D) 4
(E) 64

_________________
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4879
Location: Canada
GMAT 1: 770 Q49 V46
In a geometric sequence, each term is a constant multiple of the pre  [#permalink]

Show Tags

New post 12 Mar 2020, 04:58
1
Top Contributor
1
SajjadAhmad wrote:
In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?

(A) -32
(B) -4
(C) 2
(D) 4
(E) 64


In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively...
So, if k = the constant multiple, we can write: term4 = (k)(term3)
We get: -16 = (k)(8), which means k = -2

.....what is the first term in the sequence?
Now that we know the value of k, we can find other terms.
For example, we know that term3 = (-2)(term2), which means: 8 = (-2)(term2), which means term2 = -4
Likewise, since term2 = (-2)(term1), we can write: -4 = (-2)(term1), which means term1 = 2

Answer: C

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4011
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: In a geometric sequence, each term is a constant multiple of the pre  [#permalink]

Show Tags

New post 12 Mar 2020, 05:00
1
SajjadAhmad wrote:
In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?

(A) -32
(B) -4
(C) 2
(D) 4
(E) 64


\(T_4 = -16\)

\(T_3 = 8\)

I.e. previous term is obtained by dividing the available term by -2

I.e.\( T_2 = 8/-2 = -4\)

I.e.\( T_1 = -4/-2 = 2\)

Answer: Option C
_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes l Classroom Coaching l On-demand Quant course
Click Here for Uneditable GOOGLE reviews
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10594
Location: United States (CA)
Re: In a geometric sequence, each term is a constant multiple of the pre  [#permalink]

Show Tags

New post 15 Mar 2020, 03:44
SajjadAhmad wrote:
In a geometric sequence, each term is a constant multiple of the preceding one. If the third and fourth numbers in the series are 8 and -16, respectively, what is the first term in the sequence?

(A) -32
(B) -4
(C) 2
(D) 4
(E) 64


Since 8 must be multiplied by -2 to obtain -16, the constant multiple is -2. Going backward, the 2nd term is 8 / (-2) = -4, and therefore, the first term is (-4) / (-2) = 2.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: In a geometric sequence, each term is a constant multiple of the pre   [#permalink] 15 Mar 2020, 03:44

In a geometric sequence, each term is a constant multiple of the pre

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





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