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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 , given: 397

Each term in the sequence above is formed by adding the posi [#permalink]
Expert's post 00:00

Question Stats: 88% (00:30) correct 11% (00:00) wrong based on 9 sessions
3, 4.5, 6, 7.5,…
Each term in the sequence above is formed by adding the positive number k to the preceding term.
 Quantity A Quantity B The eighth term in the sequence above 14

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 3
Page: 546
[Reveal] Spoiler: OA

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Sandy
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Manager  Joined: 15 Jan 2018
Posts: 147
GMAT 1: Q V
Followers: 3

Kudos [?]: 185 , given: 0

Re: Each term in the sequence above is formed by adding the posi [#permalink]
This is an arithmetic series, in which the numbers increase by the same amount each time. We can see pretty easily, by subtracting one term from the other, that the terms increase by 1.5 each time. We've been given the first 4 terms. You could add 1.5 four times to the 4th term, 7.5, to find the 8th term.

But slightly faster I think, we could multiply 1.5 by 4 to get the total increase from the 4th term to the 8th term. That gives us 6, meaning that the 8th term is 6 more than the 4th term, so if we add 6 to 7.5 we get 13.5. Thus, B is larger.
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Last edited by SherpaPrep on 03 Apr 2018, 09:38, edited 1 time in total.
Manager Joined: 22 Feb 2018
Posts: 163
Followers: 2

Kudos [?]: 114 , given: 22

Re: Each term in the sequence above is formed by adding the posi [#permalink]
The different between each two continuos values is 1.5 (4.5 - 3 = 1.5)
The formula for this kind of sequence is: an = a1 + (n-1)*d
A8 = 3 + (8-1) * 1.5 = 3 + 7*1.5 = 13.5

So B is bigger than A.

_________________

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 , given: 397

Re: Each term in the sequence above is formed by adding the posi [#permalink]
Expert's post
Explanation

Notice that each term in the sequence is 1.5 greater than the last (i.e., k = 1.5).

So the second term is 3 + 1.5 = 4.5, the third term is 4.5 + 1.5 = 6, and so forth. So the fifth term is 7.5 + 1.5 = 9, the sixth term is 9 + 1.5 = 10.5, the seventh term is 10.5 + 1.5 = 12, and finally, the eighth term is 12 + 1.5 = 13.5.

So, Quantity A is 13.5, and the answer is choice (B). Another way to attack this problem is to use the sequence formula of 3 + 1.5(n – 1), where the 3 is the first
term, the 1.5 is the increase, and you are looking for the nth term. So, the 8th term is 3 + 1.5(8 – 1) = 13.5.
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Sandy
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Try our free Online GRE Test Re: Each term in the sequence above is formed by adding the posi   [#permalink] 28 Mar 2018, 13:27
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