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

 It is currently 13 Dec 2019, 02:54

### 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

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

# In the sequence of positive numbers x1, x2, x3, ..., what is the value

Author Message
TAGS:

### Hide Tags

Director
Joined: 18 Dec 2017
Posts: 858
Location: United States (KS)
Re: In the sequence of positive numbers x1, x2, x3, ..., what is the value  [#permalink]

### Show Tags

04 Nov 2019, 15:41
testprep2010 wrote:
In the sequence of positive numbers $$x_1$$, $$x_2$$, $$x_3$$, ..., what is the value of $$x_1$$?

(1) $$x_i=\frac{x_{(i-1)}}{2}$$ for all integers $$i>1$$.

(2) $$x_5=\frac{x_4}{x_4+1}$$

Well,
This question appeared in Official Free Test #2 (my attempt 2) and This is not how statement 1 was formatted. $$x_i=\frac{x_{(i-1)}}{2}$$ for all integers $$i>1$$.

Please find attached image. I treated Statement 1 as xi-1 and marked the answer as E.

Is it just me or it is actually confusing in the official test?

bb Bunuel chetan2u
Attachments

In the sequence of positive.png [ 113.34 KiB | Viewed 178 times ]

_________________
D-Day : 21st December 2019

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Math Expert
Joined: 02 Aug 2009
Posts: 8309
Re: In the sequence of positive numbers x1, x2, x3, ..., what is the value  [#permalink]

### Show Tags

04 Nov 2019, 17:06
TheNightKing wrote:
testprep2010 wrote:
In the sequence of positive numbers $$x_1$$, $$x_2$$, $$x_3$$, ..., what is the value of $$x_1$$?

(1) $$x_i=\frac{x_{(i-1)}}{2}$$ for all integers $$i>1$$.

(2) $$x_5=\frac{x_4}{x_4+1}$$

Well,
This question appeared in Official Free Test #2 (my attempt 2) and This is not how statement 1 was formatted. $$x_i=\frac{x_{(i-1)}}{2}$$ for all integers $$i>1$$.

Please find attached image. I treated Statement 1 as xi-1 and marked the answer as E.

Is it just me or it is actually confusing in the official test?

bb Bunuel chetan2u

Hi

You are likely to find it in the same way
But you should look at the size of font of numbers. When it is i-1 and x_4+1, the size of 1 differs. It is bigger when it is a separate term.
_________________
Director
Joined: 18 Dec 2017
Posts: 858
Location: United States (KS)
Re: In the sequence of positive numbers x1, x2, x3, ..., what is the value  [#permalink]

### Show Tags

04 Nov 2019, 17:11
Quote:
Hi

You are likely to find it in the same way
But you should look at the size of font of numbers. When it is i-1 and x_4+1, the size of 1 differs. It is bigger when it is a separate term.

Sure. Thank you!
I will be careful from next time and make sure I think twice before solving.
_________________
D-Day : 21st December 2019

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Manager
Joined: 15 Dec 2016
Posts: 124
In the sequence of positive numbers x1, x2, x3, ..., what is the value  [#permalink]

### Show Tags

24 Nov 2019, 13:39
Hi Bunuel

Could i assume per S2

$$X_3$$ = $$\frac{X_3}{X_3+1}$$ as well ?

Per S2 -- $$X_4$$ = $$\frac{X_4}{X_4+1}$$

So, I thought this trend could be applied to others as well. I.e.

$$X_3$$ = $$\frac{X_2}{X_2+1}$$

$$X_2$$ = $$\frac{X_1}{X_1+1}$$

or does this apply to $$X_4$$ only ?
Math Expert
Joined: 02 Sep 2009
Posts: 59722
Re: In the sequence of positive numbers x1, x2, x3, ..., what is the value  [#permalink]

### Show Tags

24 Nov 2019, 23:58
jabhatta@umail.iu.edu wrote:
Hi Bunuel

Could i assume per S2

$$X_3$$ = $$\frac{X_3}{X_3+1}$$ as well ?

Per S2 -- $$X_4$$ = $$\frac{X_4}{X_4+1}$$

So, I thought this trend could be applied to others as well. I.e.

$$X_3$$ = $$\frac{X_2}{X_2+1}$$

$$X_2$$ = $$\frac{X_1}{X_1+1}$$

or does this apply to $$X_4$$ only ?

No, you cannot assume that. The second statement does not give you a formula for nth term of the sequence (while the first statement does).
_________________
Re: In the sequence of positive numbers x1, x2, x3, ..., what is the value   [#permalink] 24 Nov 2019, 23:58

Go to page   Previous    1   2   [ 25 posts ]

Display posts from previous: Sort by