Last visit was: 05 May 2026, 12:50 It is currently 05 May 2026, 12:50
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 (Easy)|   Sequences|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 05 May 2026
Posts: 110,090
Own Kudos:
813,121
 [3]
Given Kudos: 106,039
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,090
Kudos: 813,121
 [3]
In a certain sequence, the first term is 2, and each successive term 02 Dec 2014, 09:08
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

90% (01:26) correct 10% (01:22) wrong based on 226 sessions

History

Date
Time
Result
Not Attempted Yet

Tough and Tricky questions: Sequence.



In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT
ShowHide Answer
Official Answer
A
User avatar
manpreetsingh86
User avatar
Joined: 13 Jun 2013
Last visit: 19 Dec 2022
Posts: 218
Own Kudos:
1,195
 [1]
Given Kudos: 14
Posts: 218
Kudos: 1,195
 [1]
In a certain sequence, the first term is 2, and each successive term 02 Dec 2014, 10:38
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Sequence.



In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT
Show more

let five terms in the sequence be a,b,c,d,e
a=2
b= 1+1/2=3/2
c=1+2/3= 5/3
d= 1+3/5 = 8/5
e= 1+5/8 = 13/8
hence answer should be A.
avatar
intheend14
avatar
Joined: 12 Sep 2014
Last visit: 08 Sep 2019
Posts: 125
Own Kudos:
146
 [1]
Given Kudos: 103
Concentration: Strategy, Leadership
Schools: Stanford '18 Haas '18 Wharton '18 Kellogg PT '18 Insead Sept '16
GMAT 1: 740 Q49 V41
GPA: 3.94
Schools: Stanford '18 Haas '18 Wharton '18 Kellogg PT '18 Insead Sept '16
GMAT 1: 740 Q49 V41
Posts: 125
Kudos: 146
 [1]
In a certain sequence, the first term is 2, and each successive term 02 Dec 2014, 11:14
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Step-by-step calculations:
First number is 2
Second term is 1 + 1/2 = 3/2
Third term is 1 + 2/3 = 5/3
Fourth term is 1 + 3/5 = 8/5
Fifth term is 1 + 5/8 = 13/8

Choice A
avatar
PareshGmat
avatar
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,531
Own Kudos:
8,290
 [1]
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
Kudos: 8,290
 [1]
In a certain sequence, the first term is 2, and each successive term 02 Dec 2014, 18:59
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A) 13/8

First Term = 2; Reciprocal \(= \frac{1}{2}\)

Second Term \(= \frac{1}{2} + 1 = \frac{3}{2}\) ; Reciprocal \(=\frac{2}{3}\)

Third Term \(= \frac{2}{3} + 1 = \frac{5}{3}\) ; Reciprocal \(= \frac{3}{5}\)

Forth Term \(= \frac{3}{5} + 1 = \frac{8}{5}\) ; Reciprocal \(=\frac{5}{8}\)

Fifth Term \(= \frac{5}{8} + 1 = \frac{13}{8}\)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 05 May 2026
Posts: 110,090
Own Kudos:
813,121
 [1]
Given Kudos: 106,039
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,090
Kudos: 813,121
 [1]
In a certain sequence, the first term is 2, and each successive term 03 Dec 2014, 07:51
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Sequence.



In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT
Show more

The correct answer is A.

Theory on sequences problems: sequences-progressions-101891.html

All DS sequences problems to practice: search.php?search_id=tag&tag_id=111
All PS sequences problems to practice: search.php?search_id=tag&tag_id=112
User avatar
Manasvi1
User avatar
Joined: 16 Feb 2019
Last visit: 18 Sep 2022
Posts: 30
Own Kudos:
64
Given Kudos: 20
Posts: 30
Kudos: 64
In a certain sequence, the first term is 2, and each successive term 18 May 2020, 04:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Sequence.



In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT
Show more

2 , (\(\frac{1}{2}\)+ 1 = \(\frac{3}{2 }\)) , (\(\frac{2}{3}\) + 1 = \(\frac{5}{3 }\)) , (\(\frac{3}{5}\) + 1 = \(\frac{8}{5 }\)) , (\(\frac{5}{8}\) + 1 = \(\frac{13}{8 }\))

Hence Answer is A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,016
Own Kudos:
1,123
Posts: 39,016
Kudos: 1,123
In a certain sequence, the first term is 2, and each successive term 25 Nov 2024, 20:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
110090 posts
Krunaal
Tuck School Moderator
852 posts