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Each term in the sequence above is formed by adding the posi

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Each term in the sequence above is formed by adding the posi [#permalink] New post 24 Mar 2018, 02:21
Expert's post
00:00

Question Stats:

85% (00:25) correct 14% (00:00) wrong based on 7 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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Re: Each term in the sequence above is formed by adding the posi [#permalink] New post 27 Mar 2018, 11:46
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.
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Re: Each term in the sequence above is formed by adding the posi [#permalink] New post 28 Mar 2018, 10:52
Answer: B
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.
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Re: Each term in the sequence above is formed by adding the posi [#permalink] New post 28 Mar 2018, 13:27
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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Re: Each term in the sequence above is formed by adding the posi   [#permalink] 28 Mar 2018, 13:27
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