It is currently 22 Feb 2018, 03:05

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Sequence X consists of 825 terms, and each term after the first term

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43862
Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 05 Oct 2017, 03:40
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

96% (00:41) correct 4% (00:10) wrong based on 56 sessions

HideShow timer Statistics

Sequence X consists of 825 terms, and each term after the first term is 5 more than the preceding term. What is the 500th term of sequence X?

(1) The 515th term of sequence X is -98

(2) The first term of sequence X is -2668
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
G
Joined: 30 Jan 2017
Posts: 86
Location: India
Schools: ISB '19
GMAT 1: 630 Q47 V29
GMAT 2: 660 Q47 V34
GMAT 3: 730 Q49 V40
GPA: 3.9
Re: Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 05 Oct 2017, 03:48
Bunuel wrote:
Sequence X consists of 825 terms, and each term after the first term is 5 more than the preceding term. What is the 500th term of sequence X?

(1) The 515th term of sequence X is -98

(2) The first term of sequence X is -2668



Reference Theory : https://gmatclub.com/forum/math-sequenc ... 01891.html
Answer : D
Senior Manager
Senior Manager
User avatar
G
Joined: 17 Oct 2016
Posts: 327
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
GMAT ToolKit User Premium Member CAT Tests
Re: Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 05 Oct 2017, 03:49
This is arithmetic progression.
From Question n=825 d=5.

St1 says a515=-98
We can find a500= a515-15*d = -173

St2 says a1=-2668
We can find a500= a1+499*d= -173

Hence D

Posted from my mobile device

Posted from my mobile device
_________________

Help with kudos if u found the post useful. Thanks

Intern
Intern
User avatar
B
Joined: 06 Feb 2017
Posts: 27
Schools: ISB '19, IIMA
Re: Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 05 Oct 2017, 03:59
there are a total of 825 terms
let "a" be the first term. The series can be written as a, a+5, a+10 . ....
the nth term of the sequence can be written as a+(n-1)5
to find: 500th term = a+499*5
statement1: 515th term = a+514*5 = -98
from this, we can find the value of a and hence the 500th term, hence sufficient
statement2: first term, a=-2668, clearly sufficient

Hence option D
Manager
Manager
avatar
B
Joined: 14 Sep 2016
Posts: 148
Re: Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 08 Oct 2017, 05:28
Question tells that the sequence is in AP hence any nth term is defined as a+(n-1)d, where d = 5 and n = 500. Only missing term is a, which is the first term of the sequence.

1) its tell that 515th term is -98, hence putting this value in a+(n-1)d we can derive the value of a. Sufficient
2) Clearly tells that a = -2668. Sufficient

Answer D
Senior Manager
Senior Manager
avatar
S
Joined: 15 Jan 2017
Posts: 359
CAT Tests
Re: Sequence X consists of 825 terms, and each term after the first term [#permalink]

Show Tags

New post 10 Oct 2017, 08:54
D. Given: a, a+5, a+10....total number of terms = 825
1) 515th term: -98; through formula a + (n-1)d it is SUFF

2) 1st term: -2668.d= 5. 515th term: SUFF
Re: Sequence X consists of 825 terms, and each term after the first term   [#permalink] 10 Oct 2017, 08:54
Display posts from previous: Sort by

Sequence X consists of 825 terms, and each term after the first term

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

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®.