NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 02:32 It is currently 24 Apr 2024, 02:32
Decision Tracker
My Rewards
New posts
New comers' posts

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

Sequence S has 84 terms. What is the 53rd term of the sequence?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618682 [1]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
Sequence S has 84 terms. What is the 53rd term of the sequence? [#permalink] New post   18 Jan 2022, 02:30
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

98% (00:31) correct 2% (01:05) wrong based on 55 sessions
Hide Show timer Statistics
Sequence S has 84 terms. What is the 53rd term of the sequence?

(1) First term of the sequence is 22

(2) Each term after the first term is 3 less than the preceding term.


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here
ShowHide Answer
Official Answer
C
User avatar
G
ElninoEffect
Senior Manager
Senior Manager
Joined: 07 Apr 2020
Posts: 361
Own Kudos [?]: 430 [1]
Given Kudos: 72
Location: India
Concentration: Strategy, Technology
Schools: IIMA PGPX'23 ISB '23 XLRI
WE:Engineering (Computer Software)
Send PM
Re: Sequence S has 84 terms. What is the 53rd term of the sequence? [#permalink] New post   18 Jan 2022, 03:14
1
Kudos
Bunuel wrote:
Sequence S has 84 terms. What is the 53rd term of the sequence?

(1) First term of the sequence is 22

(2) Each term after the first term is 3 less than the preceding term.


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here



(1) First term of the sequence is 22
Tells us nothing about the common difference or how the series progresses.

Not Sufficient.

(2) Each term after the first term is 3 less than the preceding term.
Let the first term of the sequence be T.
So each term after the first term will be = T-3(1), T-3(2)...
So 53rd term will be T-3(52)

But we don't know the value of the first term.

Not sufficient.

Combining helps.

C is the answer.
User avatar
L
zhanbo
VP
VP
Joined: 27 Feb 2017
Posts: 1488
Own Kudos [?]: 2301 [1]
Given Kudos: 114
Location: United States (WA)
GMAT 1: 760 Q50 V42
GMAT 2: 760 Q50 V42
GRE 1: Q169 V168

GRE 2: Q170 V170
Send PM
Sequence S has 84 terms. What is the 53rd term of the sequence? [#permalink] New post   18 Jan 2022, 06:23
1
Kudos
Pre-thinking
Sequence can be wildly difference.
53rd is not in a special location amongst a sequence of 84 terms.

(A) Insufficient.
(B) Insufficient.

(AB) So we have 22, 19, 16, ...
We should be able to list all 84 terms.
Sufficient.

The answer is (C).

PS: the 53rd term should be 22 - 3*(53-1).
avatar
D
TarunKumar1234
VP
VP
Joined: 14 Jul 2020
Posts: 1139
Own Kudos [?]: 1292 [1]
Given Kudos: 351
Location: India
Send PM
Re: Sequence S has 84 terms. What is the 53rd term of the sequence? [#permalink] New post   18 Jan 2022, 11:27
1
Kudos
Sequence S has 84 terms. What is the 53rd term of the sequence?

Stat1: First term of the sequence is 22
We have no idea, as is it an AP or GP or HP. Not sufficient

Stat2: Each term after the first term is 3 less than the preceding term.
We don't have the first term. Not sufficient

Combining both, we have 1st term and difference between 2 terms. Sufficient

So, I think C. :)
GMAT Club Bot
gmatclubot
Re: Sequence S has 84 terms. What is the 53rd term of the sequence? [#permalink]
18 Jan 2022, 11:27
Moderator:
Bunuel
Math Expert
92901 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions