Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
sasyaharry
Joined: 22 Nov 2016
Last visit: 11 Mar 2023
Posts: 198
Own Kudos:
Given Kudos: 49
Concentration: Leadership, Strategy
Schools: Wharton Exec '22 (A) Haas EWMBA '23 (A)
Products:
28 Oct 2017, 11:58
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
38% (02:34) correct
63%
(02:08)
wrong
based on 8
sessions
History
Date
Time
Result
Not Attempted Yet
All the terms of a certain sequence \(x_1,x_2,........x_n\) are positive integers. The \(n^t^h\) term (n>1) of the sequence is given by the formula:
\(x_n =x_(n-1) + 1\) (If \(x_(n-1)\) is even)
\(x_n =x_(n-1) + 3\) (If \(x_(n-1)\) is odd)
What is the value of \(x_1 + x_6\)?
(1) The second term of the sequence is 3
(2) Two of the first three terms of the sequence are even and add up to 8
\(x_n =x_(n-1) + 1\) (If \(x_(n-1)\) is even)
\(x_n =x_(n-1) + 3\) (If \(x_(n-1)\) is odd)
What is the value of \(x_1 + x_6\)?
(1) The second term of the sequence is 3
(2) Two of the first three terms of the sequence are even and add up to 8
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
28 Oct 2017, 12:09
Kudos
Bookmarks
sasyaharry
Odd numbers are being added to \(x_{n-1}\), so if \(x_{n-1}\) is even then \(x_n\) is odd and if \(x_{n-1}\) is odd then \(x_n\) is even
to know the value of \(x_1+x_6\) we only need value of \(x_1\) remaining can be found out through the formula given in the question stem
Statement 1: implies \(x_2=x_n=3=odd\), so \(x_{n-1}=x_1=even\). we can substitute the value of \(x_2\) in the equation \(x_n=x_{n-1}+1\) to get \(x_1\). Sufficient
Statement 2: the sequence will have alternate odd and even numbers, so if out of 1st three two are even, this implies \(x_1\) is even, \(x_2\) is odd and \(x_3\) is even
given \(x_1+x_3=8 =>x_1+x_2+3=8\)
or \(x_1+x_1+1+3=8\), so \(x_1\) can be calculated. Sufficient
Option D
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
