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Set A is comprised of the following terms: (3x), (3x 4), (3x 8), (

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Set A is comprised of the following terms: (3x), (3x 4), (3x 8), ( [#permalink] New post   22 Feb 2023, 07:09
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Set A is comprised of the following terms: (3x), (3x − 4), (3x − 8), (3x − 12), (3x − 16), and (3x − 20).

Quantity A
Quantity B
The sum of all the terms in Set A
18x-70


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.
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Re: Set A is comprised of the following terms: (3x), (3x 4), (3x 8), ( [#permalink] New post   25 Mar 2023, 03:35
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The key here is to notice that Set A is an evenly spaced sequence, and thus you can easily solve for its sum. The median will be equal to

first term + last term/2

3x+(3x-2)/2=3x-10

Although there is a formula to figure out how many terms there are, it is easiest in this case to count. There are six terms in the set. The sum of the terms in the set is the average value of the terms (3x − 10) times the number of terms (6). (3x − 10) × 6 = 18x − 60 Rewrite the quantities: Set A is comprised of the following terms: (3x), (3x − 4), (3x − 8), (3x − 12), (3x − 16), and (3x − 20)

QA = 18x-60
QB = 18x-70

Be careful. Quantity A is subtracting a smaller number (60) than is Quantity B (70), and so has a larger value. Therefore, Quantity A is greater.
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Re: Set A is comprised of the following terms: (3x), (3x 4), (3x 8), ( [#permalink]
25 Mar 2023, 03:35
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