GRE Prep 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.
M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t
[#permalink]
29 Mar 2023, 00:23
29 Mar 2023, 00:23
1
Expert Reply
8
Bookmarks
00:00
Question Stats:
66% (03:06) correct
33% (03:07) wrong based on 24 sessions
Hide Show timer Statistics
\(M_1, M_2, M_3, M_4, M_5, M_6, M_7\)
In the given sequence, each term is equal to succeeding minus the constant d. If \(M_2+ M_4 + M_6 = 48\), what is the sum of \(M_1, M_3, M_5, M_7\)?
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE SEQUENCES
In the given sequence, each term is equal to succeeding minus the constant d. If \(M_2+ M_4 + M_6 = 48\), what is the sum of \(M_1, M_3, M_5, M_7\)?
Show: ::
64
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE SEQUENCES
Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t
[#permalink]
18 Jun 2023, 12:56
18 Jun 2023, 12:56
4
1
Bookmarks
First translate the word equation given in the passage:
\(M2=M3-d\)
Notice that:
\(M3=M4-d\)
Which implies:
\(M2=M4-2d\)
From this we can derive a general pattern:
\(Mi=Mk-(k-i)d\)
For all k>i
We can rewrite the target statement then as:
\(M1+M1-2d+M1-4d+M1-6d\)
\(4M1-12d=?\)
We can also rewrite the given statement:
\(M2+M4+M6=48\)
\(M1-d+M1-3d+M1-5d=48\)
\(3M1-9D=48\)
\(M1-3D=16\)
\(4M1-12D=16*4=64\)
Giving us the solution to our target question, 64.
\(M2=M3-d\)
Notice that:
\(M3=M4-d\)
Which implies:
\(M2=M4-2d\)
From this we can derive a general pattern:
\(Mi=Mk-(k-i)d\)
For all k>i
We can rewrite the target statement then as:
\(M1+M1-2d+M1-4d+M1-6d\)
\(4M1-12d=?\)
We can also rewrite the given statement:
\(M2+M4+M6=48\)
\(M1-d+M1-3d+M1-5d=48\)
\(3M1-9D=48\)
\(M1-3D=16\)
\(4M1-12D=16*4=64\)
Giving us the solution to our target question, 64.
General Discussion
Re: M1, M2, M3, M4, M5, M6, M7 In the given sequence, each term is equal t
[#permalink]
29 Mar 2023, 21:39
29 Mar 2023, 21:39
I think that is M2 + M4 + M6 ?
