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.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Updated on: 02 Oct 2023, 12:58
Originally posted by Sajjad1994 on 08 Sep 2020, 02:10.
Last edited by BottomJee on 02 Oct 2023, 12:58, edited 2 times in total.
Last edited by BottomJee on 02 Oct 2023, 12:58, edited 2 times in total.
Moved to new forum
Kudos
Bookmarks
\(m_{4}\): 107
\(m_{6}\): 971
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:39) correct
18%
(01:31)
wrong
based on 259
sessions
History
Date
Time
Result
Not Attempted Yet
In a sequence \(m_{1}, m_{2}, m_{3}\)…….\(m_{n}\), the sequence is given as \(m_{n+1} = 3m_{n}+2\), Provided that integer \(n ≥ 1\) and if \(m_{1}= 3\), select the corresponding values of \(m_{4}\) and \(m_{6}\)?
| \(m_{4}\) | \(m_{6}\) | |
| 11 | ||
| 35 | ||
| 107 | ||
| 323 | ||
| 966 | ||
| 971 |
ShowHide Answer
Official Answer
\(m_{4}\): 107
\(m_{6}\): 971
08 Sep 2020, 02:21
Kudos
Bookmarks
Given - m1 = 3
m2 = 3m1 + 2 = 9+2= 11
m3=3m2 + 2 = 33+2 = 35
m4 = 3m3+ 2 = 105+2 = 107
m5 = 3m4 + 2 = 321+2 = 323
m6 = 3m5 + 2 = 969 + 2 = 971
==> m4 = 107 & m6 = 971
m2 = 3m1 + 2 = 9+2= 11
m3=3m2 + 2 = 33+2 = 35
m4 = 3m3+ 2 = 105+2 = 107
m5 = 3m4 + 2 = 321+2 = 323
m6 = 3m5 + 2 = 969 + 2 = 971
==> m4 = 107 & m6 = 971
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,089
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
14 Sep 2020, 08:59
Kudos
Bookmarks
Given: \(M_{1}\) = 3
\(m_{n+1} = 3m_{n}+2\)
To find : Value of \(M_{4}\) and \(M_{6}\)
Solution: \(m_{n+1} = 3m_{n}+2\)
\(m_{1+1} = 3m_{1}+2\)
\(m_{2} = 3*3+2\)
\(m_{2} = 9+2\)
\(m_{2} = 11\)
\(m_{2+1} = 3m_{2}+2\)
\(m_{3} = 3*11+2\)
\(m_{3} = 33+2\)
\(m_{3} = 35\)
\(m_{3+1} = 3m_{3}+2\)
\(m_{4} = 3*35+2\)
\(m_{4} = 105+2\)
\(m_{4} = 107\) ---------------------------(1)
\(m_{4+1} = 3m_{4}+2\)
\(m_{5} = 3*107+2\)
\(m_{5} = 321+2\)
\(m_{5} = 323\)
\(m_{5+1} = 3m_{5}+2\)
\(m_{6} = 3*323+2\)
\(m_{6} = 969+2\)
\(m_{6} = 971\) --------------------------(2)
Answer : \(m_{4} = 107\) and \(m_{6} = 971\)
\(m_{n+1} = 3m_{n}+2\)
To find : Value of \(M_{4}\) and \(M_{6}\)
Solution: \(m_{n+1} = 3m_{n}+2\)
\(m_{1+1} = 3m_{1}+2\)
\(m_{2} = 3*3+2\)
\(m_{2} = 9+2\)
\(m_{2} = 11\)
\(m_{2+1} = 3m_{2}+2\)
\(m_{3} = 3*11+2\)
\(m_{3} = 33+2\)
\(m_{3} = 35\)
\(m_{3+1} = 3m_{3}+2\)
\(m_{4} = 3*35+2\)
\(m_{4} = 105+2\)
\(m_{4} = 107\) ---------------------------(1)
\(m_{4+1} = 3m_{4}+2\)
\(m_{5} = 3*107+2\)
\(m_{5} = 321+2\)
\(m_{5} = 323\)
\(m_{5+1} = 3m_{5}+2\)
\(m_{6} = 3*323+2\)
\(m_{6} = 969+2\)
\(m_{6} = 971\) --------------------------(2)
Answer : \(m_{4} = 107\) and \(m_{6} = 971\)
