Events & Promotions
| Last visit was: 02 Sep 2026, 10:45 |
It is currently 02 Sep 2026, 10:45 |
|
|
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 0208:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 0301:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Aug 2710:00 AM EDT
-11:00 AM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Sep 0212:30 AM EDT
-01:30 AM EDT
Thought your job leaves no time for GMAT prep? After multiple GMAT attempts and a demanding consulting job, Kshitij improved to 695 in under 2 months. Learn the mindset shifts, study strategy, and execution changes that made the breakthrough possible.
Sep 0410:00 AM PDT
-11:00 AM PDT
What does test anxiety really look like on the GMAT? For many test takers, it does not look like a panic attack. Instead, it shows up as brain fog, rereading, negative comparisons, mental noise....
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sundays Sept. 6, 2026.- Sep 07
12:01 AM PDT
-11:59 PM PDT
On the 7th, GMAT Club Tests will be Free! Including all the Quizzes, Questions, and Tests. 12 AM - 11:59 PM PDT - Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway 
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 2108:00 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
05 Jul 2026, 09:43
Kudos
Bookmarks
T4: -1
T7: 12
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:
63% (02:47) correct
37%
(03:18)
wrong
based on 652
sessions
History
Date
Time
Result
Not Attempted Yet
For positive values of \(n\), \(T_n\) is defined such that \(T_{n+2}-2T_n^2-T_{n+1}=0\), also given is \(T_5=2\). Select the values of \(T_4\) & \(T_7\) in the table such that they are jointly compatible with these conditions.
Make only two selections, one in each column.
Make only two selections, one in each column.
| T4 | T7 | Value |
| -8 | ||
| -2 | ||
| -1 | ||
| 2 | ||
| 12 |
ShowHide Answer
Official Answer
T4: -1
T7: 12
05 Jul 2026, 09:58
Kudos
Bookmarks
For positive values of \(n\), \(T_n\) is defined such that \(T_{n+2}-2T_n^2-T_{n+1}=0\), also given is \(T_5=2\). Select the values of \(T_4\) & \(T_7\) in the table such that they are jointly compatible with these conditions.
Make only two selections, one in each column.
Use \(n=4\):
\(T_6=2T_4^2+T_5\)
Since \(T_5=2\):
\(T_6=2T_4^2+2\)
Use \(n=5\):
\(T_7=2T_5^2+T_6\)
\(T_7=2*2^2+(2T_4^2+2)\)
\(T_7=2T_4^2+10\)
So, the selected pair must satisfy \(T_7=2T_4^2+10\).
Only the pair \(T_4=-1\) and \(T_7=12\) satisfies this equation:
\(T_7=2(-1)^2+10=12\)
So the correct selections are:
\(T_4=-1\)
\(T_7=12\)
GMAT-Club-Forum-7cwlmyy6.png [ 8.41 KiB | Viewed 2522 times ]
Make only two selections, one in each column.
Use \(n=4\):
\(T_6=2T_4^2+T_5\)
Since \(T_5=2\):
\(T_6=2T_4^2+2\)
Use \(n=5\):
\(T_7=2T_5^2+T_6\)
\(T_7=2*2^2+(2T_4^2+2)\)
\(T_7=2T_4^2+10\)
So, the selected pair must satisfy \(T_7=2T_4^2+10\).
Only the pair \(T_4=-1\) and \(T_7=12\) satisfies this equation:
\(T_7=2(-1)^2+10=12\)
So the correct selections are:
\(T_4=-1\)
\(T_7=12\)
Attachment:
GMAT-Club-Forum-7cwlmyy6.png [ 8.41 KiB | Viewed 2522 times ]
General Discussion
14 Jul 2026, 09:38
Kudos
Bookmarks
Cneltonmp
For positive values of \(n\), \(T_n\) is defined such that \(T_{n+2}-2T_n^2-T_{n+1}=0\), also given is \(T_5=2\). Select the values of \(T_4\) & \(T_7\) in the table such that they are jointly compatible with these conditions.
\(T_{n+2}-2T_n^2-T_{n+1}=0\)
n = 5
\(T_7-2T_5^2-T_6 = T_7 - 2*2^2 - T_6=0\)
\(T_7 = 8 + T_6\) (1)
n = 4
\(T_6-2T_4^2-T_5= T_6-2T_4^2-2 = 0\)
\(T_6 = 2T_4^2 + 2 \) (2)
Putting value of T_6 in (1)
\(T_7 = 8 + T_6 = 8 + 2 + 2T_4^2 = 10 + 2T_4^2\)
\(T_4 = -1 ; T_7 = 10 + 2(-1)^2 = 12\)
For positive values of \(n\), \(T_n\) is defined such that \(T_{n+2}-2T_n^2-T_{n+1}=0\), also given is \(T_5=2\). Select the values of \(T_4\) & \(T_7\) in the table such that they are jointly compatible with these conditions.
\(T_{n+2}-2T_n^2-T_{n+1}=0\)
n = 5
\(T_7-2T_5^2-T_6 = T_7 - 2*2^2 - T_6=0\)
\(T_7 = 8 + T_6\) (1)
n = 4
\(T_6-2T_4^2-T_5= T_6-2T_4^2-2 = 0\)
\(T_6 = 2T_4^2 + 2 \) (2)
Putting value of T_6 in (1)
\(T_7 = 8 + T_6 = 8 + 2 + 2T_4^2 = 10 + 2T_4^2\)
\(T_4 = -1 ; T_7 = 10 + 2(-1)^2 = 12\)
| \(T_4\) | \(T_7\) |
| -1 | 12 |
27 Jul 2026, 11:15
Kudos
Bookmarks
hey, what is the source of this qs ?
