Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 25 Mar 2017, 16:59

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If the sequence S has 300 terms, what is the 293rd term of S

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7396

Kudos [?]: 99493 [0], given: 11023

If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

20 Aug 2012, 03:23
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

83% (01:37) correct 17% (00:46) wrong based on 971 sessions

### HideShow timer Statistics

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Practice Questions
Question: 24
Page: 276
Difficulty: 550
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7396

Kudos [?]: 99493 [2] , given: 11023

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

20 Aug 2012, 03:23
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. $$S_{293}=S_{298}+5*2=-616+10=-606$$. Sufficient.

(2) The first term of S is -22. Clearly insufficient.

_________________
Intern
Joined: 21 Jun 2012
Posts: 4
Followers: 0

Kudos [?]: 1 [1] , given: 10

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

21 Aug 2012, 09:51
1
KUDOS
Bunuel wrote:
RESERVED FOR A SOLUTION.

i) T298= -616 and common difference=-2
from this we can calculate T293, hence sufficient.

ii) T1= -22, nothing else is provided or known, hence insufficient.

Hence A is the answer.

Thanks.
Manager
Joined: 30 Sep 2009
Posts: 124
Followers: 0

Kudos [?]: 29 [0], given: 183

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

23 Aug 2012, 21:32
Statement 1 :

we know : Tn=a+(n-1)d where
Tn=value of the nth term
a=first term
n= nth term
d=difference of the each term...

From the first statement we have all the values of the above equation we can find out a. We do not need to calculate. After finding a we know we can find the value of 298th term.

so A is sufficeint....

2) Only the first term is given. we have two unknown values d and n .. so the statement is insufficient
Senior Manager
Joined: 11 May 2011
Posts: 372
Location: US
Followers: 4

Kudos [?]: 98 [0], given: 46

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

24 Aug 2012, 00:09
Easy one ... Answer is A.
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7396

Kudos [?]: 99493 [0], given: 11023

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

24 Aug 2012, 07:11
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. $$S_{293}=S_{298}+5*2=-616+10=-606$$. Sufficient.

(2) The first term of S is -22. Clearly insufficient.

_________________
Manager
Joined: 17 Jul 2010
Posts: 124
Followers: 1

Kudos [?]: 46 [0], given: 43

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

02 May 2013, 20:34
1) if the 298 term of S is -616, and each thereafter is 2 less than the preceding term, you know that term 297, or 298 can also be solved, that's sufficient enough to find the 293rd term.

2) the stem is tricky because the question wants you to carry over and second guess yourself, or make you choose C, so be careful,
for statement 2: you still need a base to start, such as statement 1), 298 term of s is -616, and 2) you're lacking the difference per term, such as statement 1), the difference is -2 per term. So lacking these two makes this statement NOT SUFF.

Common Sense, really. NO MATH!

Kudos is this helps !
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14413
Followers: 605

Kudos [?]: 174 [0], given: 0

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

12 Sep 2014, 14:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Intern
Joined: 21 Oct 2012
Posts: 39
Location: United States
Concentration: Marketing, Operations
GMAT 1: 650 Q44 V35
GMAT 2: 600 Q47 V26
GMAT 3: 660 Q43 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 16 [0], given: 19

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

05 Oct 2014, 11:14
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. $$S_{293}=S_{298}+5*2=-616+10=-606$$. Sufficient.

(2) The first term of S is -22. Clearly insufficient.

I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608
Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7396

Kudos [?]: 99493 [0], given: 11023

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

05 Oct 2014, 11:23
havoc7860 wrote:
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. $$S_{293}=S_{298}+5*2=-616+10=-606$$. Sufficient.

(2) The first term of S is -22. Clearly insufficient.

I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608

Have you tried easiest way?
The 298th term of S is -616
The 297th term of S is -614
The 296th term of S is -612
The 295th term of S is -610
The 294th term of S is -608
The 293rd term of S is -606
_________________
Intern
Joined: 21 Oct 2012
Posts: 39
Location: United States
Concentration: Marketing, Operations
GMAT 1: 650 Q44 V35
GMAT 2: 600 Q47 V26
GMAT 3: 660 Q43 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 16 [0], given: 19

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

05 Oct 2014, 11:53
Bunuel wrote:
havoc7860 wrote:
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. $$S_{293}=S_{298}+5*2=-616+10=-606$$. Sufficient.

(2) The first term of S is -22. Clearly insufficient.

I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608

Have you tried easiest way?
The 298th term of S is -616
The 297th term of S is -614
The 296th term of S is -612
The 295th term of S is -610
The 294th term of S is -608
The 293rd term of S is -606

Your right, i was just trying to figure out another way to solve the problem just in case someone might benefit by looking at it in another way.

How stupid of me

S(293) = -22 - 2(293)
= -22-586
= -608

should be

S(293) = -22 -2(293-1)
= -22-584
=-606
Current Student
Joined: 20 Jan 2014
Posts: 184
Location: India
Concentration: Technology, Marketing
Followers: 1

Kudos [?]: 61 [0], given: 120

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

05 Oct 2014, 23:17
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Alternate method:
Sequence nth term formula for arithmetic progression is : [a+(n-1)d]

Where a= 1st term, n= no of the term we want to find and d= difference between 2 terms.

here we know that n=293
Now lets take the easy one first: option B : we are given that a= -22 : Clearly not sufficient, we need difference d.

Now Option A.
298th term is 616
so 616 = [a + (298-1)2] => we can find A from this and then can find 293rd term by [a+(293-1)2]
Hence A is sufficient.

If you want to understand this formula here is the link : http://www.veritasprep.com/blog/2012/03 ... gressions/
One more useful formula is also provided here
_________________

Consider +1 Kudos Please

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14413
Followers: 605

Kudos [?]: 174 [0], given: 0

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

21 Feb 2016, 01:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1944
Followers: 61

Kudos [?]: 456 [0], given: 484

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

09 Mar 2016, 04:46
here statement tells us it is a Ap series with one term given and D given so its sufficient
Statement 2 is not correct for obvious reasons as its no AP
_________________

Give me a hell yeah ...!!!!!

Director
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 747
Location: United States (CA)
Followers: 25

Kudos [?]: 335 [0], given: 2

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

09 Aug 2016, 13:27
Quote:
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

We are given that sequence S has 300 terms, and we need to determine the 293rd term of S.

Statement One Alone:

The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.

Statement one defines the pattern of the sequence. We are given that each term of S after the first is 2 less than the preceding term. Thus, we know that we can determine the value of the 293rd term.

If we were forced to determine the 293rd term we could determine that value. We know that the 293rd term is 5 terms before the 298th term. Thus, the 298th term is 5(2) = 10 less than the 293rd term, or in other words, the 293rd term is 10 more than -616, the 298th term. So the 293rd term is -606.

Remember, because we are answering a data sufficiency question, we can stop as soon as we know we are able to determine the value of the 293rd term, and so we don't need to perform the math to calculate its actual value.

Statement one is sufficient. We can eliminate answer choices B, C, and E.

Statement Two Alone:

The first term of S is -22.

Since we do not have any information about the pattern defining the sequence, statement two is not sufficient to answer the question.

The answer is A.
_________________

Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Intern
Joined: 01 Jan 2016
Posts: 9
Followers: 0

Kudos [?]: 1 [0], given: 6

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

23 Sep 2016, 22:03
Is it true that to find a specified value within in a set we need primarily two things: (1) a reference term (S_298 = -616) and (2) a general formula that specifies the number associated with the a specified element of the set?
Senior Manager
Joined: 05 Jan 2017
Posts: 436
Location: India
GMAT 1: Q V
GMAT 2: Q V
Followers: 12

Kudos [?]: 29 [0], given: 15

Re: If the sequence S has 300 terms, what is the 293rd term of S [#permalink]

### Show Tags

23 Feb 2017, 05:48
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Prompt analysis
There is an arithmetic progression of 300 terms.

Superset
The answer will be real number.

Translation
We know that tn = a +(n-1)d. In order to know that t293, we need the value of a and d.

Statement analysis

St 1: t298 =-616 and d = -2. Therefore t298 =a +297d = a +292d +5d = t293 +5d
Therefore -616 =t293 -10. t293 =-606. ANSWER. Hence option b,c,e eliminated.
St 2: a =-22. Since we have no idea about any other information, it is INSUFFICIENT.

Option A
_________________

Re: If the sequence S has 300 terms, what is the 293rd term of S   [#permalink] 23 Feb 2017, 05:48
Similar topics Replies Last post
Similar
Topics:
1 If sequence S has 100 terms, what is the 83rd term of S? 8 02 Jun 2016, 11:52
2 If sequence S has 120 terms, what is the 105th term of S? 2 19 Sep 2015, 13:01
2 If sequence S has 200 terms, what is the 192nd term of S 3 15 Feb 2014, 23:23
51 If sequences S has 240 terms, what is the 239th term of S? 9 29 Sep 2013, 19:57
10 If the Sequence S has 100 terms what is the 83rd term 6 30 Sep 2010, 15:07
Display posts from previous: Sort by

# If the sequence S has 300 terms, what is the 293rd term of S

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

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.