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

It is currently 14 Jul 2020, 15:44

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: 65290
In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

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

Difficulty:

  25% (medium)

Question Stats:

82% (02:51) correct 18% (02:56) wrong based on 27 sessions

HideShow timer Statistics

In a sequence of numbers in which the difference of any two successive terms is a constant, the second term is 8 and the eighths term is 2 more than thrice the second term. What is the sum of the first eight terms of this sequence?

A. 124
B. 110
C. 108
D. 106
E. 96


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4372
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 15 May 2020, 00:43
1
Bunuel wrote:
In a sequence of numbers in which the difference of any two successive terms is a constant, the second term is 8 and the eighths term is 2 more than thrice the second term. What is the sum of the first eight terms of this sequence?

A. 124
B. 110
C. 108
D. 106
E. 96


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS


Are You Up For the Challenge: 700 Level Questions


If the first term = a
COmmon difference = d

Then, Second Term = a+d = 8
Then, Eigth Term = a+7d = 3*(a+d)+2

i.e. a+7d = 3*(a+d)+2
i.e. 2a+2 = 4d
i.e. a +1 = 2d i.e .a = 2d - 1

Also, a+d = 8

i.e. (2d-1)+d = 8

i.e. d = 3
and a = 5



First 8 terms are {5, 8, 11, 14, 17, 20, 23, 26}

Sum of terms in A.P. = (n/2)[First term+Last Term] = (8/2)*(5+26) = 4*31 = 124

Answer: Option A
_________________
Prepare with PERFECTION to claim Q≥50 and V≥40 !!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting

Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing
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
FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol.
GMATWhiz Representative
User avatar
G
Joined: 07 May 2019
Posts: 840
Location: India
In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 15 May 2020, 01:36
1
Bunuel wrote:
In a sequence of numbers in which the difference of any two successive terms is a constant, the second term is 8 and the eighths term is 2 more than thrice the second term. What is the sum of the first eight terms of this sequence?

A. 124
B. 110
C. 108
D. 106
E. 96



Solution


    • Since the difference of any two successive terms is a constant, so the given sequence is in Arithmetic progression.
    • Now, let us assume that the first term of the A.P. is a and the common difference is d.
    • Second term \(= a + d = 8 …………Eq.(i)\)
    • Eighth term \(= a + 7d = 3*8 + 2 = 26 ….Eq.(ii)\)
    • Subtracting second term from eighth term(or, Eq.(i) from Eq.(ii)) , we get,
      o \(6d = 18 ⟹ d = 3\)
      o Thus, \(a = 8 – 3 = 5\)
    • Therefore, the sum of first eight terms of the sequence \(= \frac{8}{2}[5 + 26] = 4*31 = 124\)
Thus, the correct answer is Option A.
_________________

GMAT Prep truly Personalized using Technology

Prepare from an application driven course that serves real-time improvement modules along with a well-defined adaptive study plan. Start a free trial to experience it yourself and get access to 25 videos and 300 GMAT styled questions.

Helpful Links

Countdown to Round 1 - Free Webinar Series: Registration Link | Watch Recordings of Webinars
Score Improvement Strategy: How to score Q50+ on GMAT | 5 steps to Improve your Verbal score
Study Plan Articles: 3 mistakes to avoid while preparing | How to create a study plan? | The Right Order of Learning | Importance of Error Log
Helpful Quant Strategies: Filling Spaces Method | Avoid Double Counting in P&C | The Art of Not Assuming anything in DS | Number Line Method
Key Verbal Techniques: Plan-Goal Framework in CR | Quantifiers the tiny Game-changers | Countable vs Uncountable Nouns | Tackling Confusing Words in Main Point
Senior Manager
Senior Manager
User avatar
G
Joined: 05 Aug 2019
Posts: 301
Location: India
Concentration: Leadership, Technology
GMAT 1: 600 Q50 V22
GPA: 4
CAT Tests
Re: In a sequence of numbers in which the difference of any two successive  [#permalink]

Show Tags

New post 16 May 2020, 01:05
1
See the attachment. Answer is A

Attachments

1.PNG
1.PNG [ 18.28 KiB | Viewed 178 times ]

GMAT Club Bot
Re: In a sequence of numbers in which the difference of any two successive   [#permalink] 16 May 2020, 01:05

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