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Each term in the sequence above is formed by adding the posi
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24 Mar 2018, 02:21
24 Mar 2018, 02:21
Expert Reply
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Question Stats:
85% (00:45) correct
14% (00:39) wrong based on 47 sessions
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3, 4.5, 6, 7.5,…
Each term in the sequence above is formed by adding the positive number k to the preceding term.
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.
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
Question: 3
Page: 546
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
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Re: Each term in the sequence above is formed by adding the posi
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Updated on: 03 Apr 2018, 09:38
Updated on: 03 Apr 2018, 09:38
Expert Reply
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.
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.
Originally posted by SherpaPrep on 27 Mar 2018, 11:46.
Last edited by SherpaPrep on 03 Apr 2018, 09:38, edited 1 time in total.
Last edited by SherpaPrep on 03 Apr 2018, 09:38, edited 1 time in total.
Re: Each term in the sequence above is formed by adding the posi
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28 Mar 2018, 10:52
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.
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.
