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.
Apr 25Crafting an Impactful Resume: Balancing Detail with Brevity
10:00 AM EDT
-10:30 AM EDT
Showcase your achievements through impactful storytelling! Get ready for an LIVE session on April 25, Learn how to craft compelling narratives on your resume that resonate with admission committees.
Apr 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
Apr 26Get a Top GRE Score with Target Test Prep
12:00 PM EDT
-01:00 PM EDT
The Target Test Prep course represents a quantum leap forward in GRE preparation, a radical reinterpretation of the way that students should study. In fact, more and more Target Test Prep students are scoring 329 and above on the GRE.
term after the first term is equal to the preceding term
[#permalink]
18 Jan 2016, 02:25
18 Jan 2016, 02:25
3
Expert Reply
11
Bookmarks
00:00
Question Stats:
76% (02:14) correct
23% (01:59) wrong based on 119 sessions
Hide Show timer Statistics
\(a_1, a_2, a_3 ................ a_n\)
In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If \(a_1+a_3+a_5=27\), what is the value of \(a_2+a_4\) ?
\(a_2+a_4=\)
In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If \(a_1+a_3+a_5=27\), what is the value of \(a_2+a_4\) ?
\(a_2+a_4=\)
Show: :: OA
18
Practice Questions
Question: 24
Page: 336
Difficulty: easy
Question: 24
Page: 336
Difficulty: easy
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: term after the first term is equal to the preceding term
[#permalink]
05 Feb 2019, 12:13
05 Feb 2019, 12:13
8
1
Bookmarks
sandy wrote:
\(a1, a2, a3 ................ an\)
In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If \(a1+a3+a5=27\), what is the value of \(a2+a4\) ?
\(a2+a4=\)
In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If \(a1+a3+a5=27\), what is the value of \(a2+a4\) ?
\(a2+a4=\)
Show: :: OA
18
By definition:
a1 = a1
a2 = a1 + c
a3 = a1 + c + c = a1 + 2c
a4 = a1 + c + c + c = a1 + 3c
a5 = a1 + c + c + c + c = a1 + 4c
GIVEN: a1+a3+a5=27
We can write: a1 + (a1 + 2c) + (a1 + 4c) = 27
Simplify: 3a1 + 6c = 27
Divide both sides by 3 to get: a1 + 2c = 9
What is the value of \(a2+a4\)
a2 + a4 = (a1 + c) + (a1 + 3c)
= 2a1 + 4c
= 2(a1 + 2c)
= 2(9)
= 18
Answer: 18
Cheers,
Brent
General Discussion
Re: term after the first term is equal to the preceding term
[#permalink]
18 Jan 2016, 04:52
18 Jan 2016, 04:52
3
Expert Reply
Solution
This is clearly an arithmetic progression and we just need the first 5 terms. We can rewrite the progression as a - 2c, a - c, a , a + c, a + 2c. Here the difference between the terms is c as described in the problem
a1 + a3 + a5 = a - 2c + a + a+ 2c = 3a = 27. Hence a =9.
To find a2 + a4 = a - c + a + C = 2a =18.
The purpose of writing this series in the above form is to eliminate c as a variable. Hence answer is 18.
This is clearly an arithmetic progression and we just need the first 5 terms. We can rewrite the progression as a - 2c, a - c, a , a + c, a + 2c. Here the difference between the terms is c as described in the problem
a1 + a3 + a5 = a - 2c + a + a+ 2c = 3a = 27. Hence a =9.
To find a2 + a4 = a - c + a + C = 2a =18.
The purpose of writing this series in the above form is to eliminate c as a variable. Hence answer is 18.
