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# Sn = 3n + 3 Sequence S is defined for each integer n such th

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Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]  30 Aug 2018, 07:37
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Question Stats:

75% (00:58) correct 25% (00:45) wrong based on 16 sessions
$$S_n = 3n + 3$$
Sequence S is defined for each integer n such that
0 < n < 10,000.

 Quantity A Quantity B The median of sequence S The mean of sequence S

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.
[Reveal] Spoiler: OA

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Sandy
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Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]  04 Sep 2018, 01:53
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Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]  04 Sep 2018, 07:26
Median of a sequence equals to mean of a sequence. C.
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Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]  04 Sep 2018, 10:36
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Expert's post
sandy wrote:
$$S_n = 3n + 3$$
Sequence S is defined for each integer n such that
0 < n < 10,000.

 Quantity A Quantity B The median of sequence S The mean of sequence S

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.

Let's examine a few terms in the sequence.

GIVEN: term_n = 3n + 3
So, term_1 = 3(1) + 3 = 6
term_2 = 3(2) + 3 = 9
term_3 = 3(3) + 3 = 12
term_4 = 3(4) + 3 = 15
term_5 = 3(5) + 3 = 18
etc

So, the sequence looks like this: 6, 9, 12, 15, 18, . . .

KEY CONCEPT: "In a set where the numbers are equally spaced, the mean will equal the median."
For example, in each of the following sets, the mean and median are equal:
{7, 9, 11, 13, 15}
{-1, 4, 9, 14}
{3, 4, 5, 6}

Since the numbers in the given set {6, 9, 12, 15, 18, . . .} are EQUALLY SPACED, the mean must equal the median

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: Sn = 3n + 3 Sequence S is defined for each integer n such th [#permalink]  04 Sep 2018, 14:10
C

Just remember one thing: numbers that are equally spaced always have the same mean and median.

Saves a ton of time during the test.
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Re: Sn = 3n + 3 Sequence S is defined for each integer n such th   [#permalink] 04 Sep 2018, 14:10
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