It is currently 07 Aug 2022, 16:44 |

Customized

for You

Track

Your Progress

Practice

Pays

- Aug
**09**### Mastering the Harvard, Stanford, and Wharton MBA Application Essays | Getting into Top MBA Programs

08:30 AM PDT

-09:30 AM PDT

Harold Simansky, MIT Sloan MBA and expert admission consultant, provides specific tips on the Essay questions of Harvard, Stanford, Wharton, and Columbia’s MBA application essays. - Aug
**10**### Application Strategy for Indian MBA Applicants applying to US, European, Canadian Business Schools

08:30 AM PDT

-09:30 AM PDT

Shruti Parashar, MBA admission expert, provides detailed tips and advice to Indian MBA applicants on: (1) Finding the right type of MBA program (2) Applying to an MBA in India, US, Europe and Canada? (3) Differences in Admission Process & Career Options. - Aug
**10**### All your questions about Top MBA programs answered!

09:30 AM PDT

-11:30 AM PDT

This session will be conducted by ARINGO MBA Admissions Consulting - a boutique MBA admissions consulting firm with the highest acceptance rates in the industry! Wednesday, August 10th at 9:30 AM PDT | 10:00 PM IST | 12:30 PM EDT - Aug
**11**### Sia Admissions has launched a new series, "10-in-10"

10:00 AM EDT

-11:00 AM EDT

Susan Berishaj, will host weekly 30-minute live chats where she will answer your most pressing questions as you prepare your applications for the top-10 MBA programs. In episode 3 they will cover the application for Kellogg School of Management. - Aug
**11**### What Does Wharton Look for in MBA Candidates?

04:00 PM PDT

-05:00 PM PDT

Learn about the qualities that Wharton values in candidates - Aug
**11**### Free GRE Prep Hour with Manhattan Prep

08:00 PM EDT

-09:00 PM EDT

Strategies and techniques for approaching featured GRE topics, 1-hour of live, online instruction - Aug
**12**### MBA SPOTLIGHT FAIR WITH STUDENTS

07:00 AM PDT

-12:00 PM PDT

It is only 2 days - we are packing a week-worth of student-led sessions in just 2 days. This year is a new format with most sessions going to Zoom. We will still have some amazing panels on YouTube - Aug
**13**### GRE Geometry: Learn how to visualize and solve quickly

05:30 AM PDT

-07:30 AM PDT

In this webinar, you will learn the easiest way to deal with questions of Lines, Triangles, Quadrilaterals and Circles—and other advanced topics such as 3-D coordinate geometry—by using the visualization strategy. - Aug
**13**### Are You Ready For MBA Round 1 Deadlines?

03:00 PM PDT

-04:00 PM PDT

With the first MBA round 1 deadline in less than five weeks, it is time to check on your progress and make sure your business school applications are on track and solid: - Aug
**13**### How to Write an Effective MBA Statement of Purpose (SoP) | MBA Application Essays

03:00 PM PDT

-04:00 PM PDT

Preparing the Statement of Purpose is at the core of the applications process. This detailed conceptual video shall help you in preparing an impactful SoP that will lift up the overall quality of your MBA Application. - Aug
**14**### Harvard Business School's round 1 MBA application deadline is nearly 4 weeks away

12:00 PM PDT

-02:00 PM PDT

Watch Personal MBA Coach's quick tips video to learn how to position yourself for success: - Aug
**15**### Explore truly Personalized GRE Prep (Free trial)

06:30 AM PDT

-08:30 AM PDT

Targeting a 330+? Try out the most methodical and personalized GRE prep course that uses adaptive learning technology to help you prepare effectively. - Aug
**18**### PATH TO GRADUATE SCHOOL

08:00 PM EDT

-09:00 PM EDT

Interested in graduate school but not sure how to get there? In this session, we will discuss why getting a graduate degree is valuable, the steps you need to take to apply to graduate school, and how the GRE helps prospective students gain an advantage.

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

WE:**Business Development (Energy and Utilities)**

QOTD #7 In a certain sequence of numbers, each term after
[#permalink]
Updated on: 12 Jun 2019, 15:58

2

Expert Reply

3

Bookmarks

Question Stats:

In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?

Indicate all such numbers.

A. 5

B. 8

C. 11

D. 16

E. 22

F. 35

_________________

Indicate all such numbers.

A. 5

B. 8

C. 11

D. 16

E. 22

F. 35

Practice Questions

Question: 19

Page: 154

Question: 19

Page: 154

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

WE:**Business Development (Energy and Utilities)**

Re: QOTD #7 In a certain sequence of numbers, each term after
[#permalink]
03 Aug 2016, 17:20

2

Expert Reply

Explanation

Since the 4th term in the sequence is 19, it follows that the 5th term is (19)(2) – 3, or 35. Proceeding backwards in the sequence from the 4th term to determine each preceding term, you would add 3 and then divide the result by 2. So the 3rd term is \((19 +3)/2\), or 11; the 2nd term is, \((11 +3)/2\), or 7; and the 1st term is \((7 +3)/2\), or 5. Hence the first 5 terms of the sequence are 5, 7, 11, 19, and 35, of which 5, 11, and 35 are among the answer choices.

Can you show that the other three answer choices, 8, 16, and 22, are not in the sequence? Note that 8, 16, and 22 are not among the first 5 terms of the sequence, and the 5th term of the sequence is 35. If you can show that each successive term in the sequence is greater than the term before it, you can conclude that 8, 16 and 22 are not terms in the sequence. If b is any term in the sequence, then the successive term is 2b – 3. Note that b < 2b – 3 is equivalent to b > 3, so the successive term, 2b – 3, is greater than the term before it, b, if b > 3. Since the first term of the sequence is 5, which is greater than 3, each successive term is greater than the term before it.

Thus the correct answer consists of Choices A, C, and F.

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Since the 4th term in the sequence is 19, it follows that the 5th term is (19)(2) – 3, or 35. Proceeding backwards in the sequence from the 4th term to determine each preceding term, you would add 3 and then divide the result by 2. So the 3rd term is \((19 +3)/2\), or 11; the 2nd term is, \((11 +3)/2\), or 7; and the 1st term is \((7 +3)/2\), or 5. Hence the first 5 terms of the sequence are 5, 7, 11, 19, and 35, of which 5, 11, and 35 are among the answer choices.

Can you show that the other three answer choices, 8, 16, and 22, are not in the sequence? Note that 8, 16, and 22 are not among the first 5 terms of the sequence, and the 5th term of the sequence is 35. If you can show that each successive term in the sequence is greater than the term before it, you can conclude that 8, 16 and 22 are not terms in the sequence. If b is any term in the sequence, then the successive term is 2b – 3. Note that b < 2b – 3 is equivalent to b > 3, so the successive term, 2b – 3, is greater than the term before it, b, if b > 3. Since the first term of the sequence is 5, which is greater than 3, each successive term is greater than the term before it.

Thus the correct answer consists of Choices A, C, and F.

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: QOTD #7 In a certain sequence of numbers, each term after
[#permalink]
23 Aug 2016, 16:30

3

Expert Reply

sandy wrote:

In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?

Indicate all such numbers.

A. 5

B. 8

C. 11

D. 16

E. 22

F. 35

Indicate all such numbers.

A. 5

B. 8

C. 11

D. 16

E. 22

F. 35

So, some term = 2(preceding term) - 3

Given: term_4 = 19

So, term_5 = 2(19) - 3 = 35 (answer choice F)

We can also work backwards.

For example: term_4 = 2(term_3) - 3

If term_4 = 19, then we can write: 19 = 2(term_3) - 3

Add 3 to both sides to get: 22 = 2(term_3)

Solve to get: term_3 = 11 (answer choice C)

Likewise, term_3 = 2(term_2) - 3

Since term_3 = 11, we can write: 11 = 2(term_2) - 3

Add 3 to both sides to get: 14 = 2(term_2)

Solve to get: term_2 = 7

Finally, term_2 = 2(term_1) - 3

Since term_2 = 7, we can write: 7 = 2(term_1) - 3

Add 3 to both sides to get: 10 = 2(term_1)

Solve to get: term_1 = 5 (answer choice A)

So, the first 5 terms are: 5, 7, 11, 19, 35 ...

Answer:

Show: ::

A, C, F

RELATED VIDEOS

_________________

QOTD #7 In a certain sequence of numbers, each term after
[#permalink]
25 May 2021, 00:23

1

You could also find any term in the sequence without recursion, by knowing that:

a1=5

and that

an = 2^(n-1)*a1 - 3*sum(2^(i), from i=0, to i=n-2)

For example,

a4=2^3 * 5 - 3 * (2^0 + 2^1 + 2^2) = 8 * 5 - 3 * (7) = 40 - 21 = 19.

_________________

a1=5

and that

an = 2^(n-1)*a1 - 3*sum(2^(i), from i=0, to i=n-2)

For example,

a4=2^3 * 5 - 3 * (2^0 + 2^1 + 2^2) = 8 * 5 - 3 * (7) = 40 - 21 = 19.

_________________

Bessonov Tutoring

Re: QOTD #7 In a certain sequence of numbers, each term after
[#permalink]
01 Jul 2022, 07:42

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.

Thanks to another GRE Prep 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.

gmatclubot

Moderators:

Multiple-choice Questions — Select One or More Answer Choices |
||

## Hi Guest,Here are updates for you:## ANNOUNCEMENTS |