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In a certain sequence, the term [m]A_n[/m] is given

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Director
Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
In a certain sequence, the term [m]A_n[/m] is given  [#permalink]

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28 Jan 2019, 19:37
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Difficulty:

45% (medium)

Question Stats:

63% (02:46) correct 38% (03:37) wrong based on 11 sessions

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In a certain sequence, the term $$A_n$$ is given by the formula $$A_n = 16 - \frac{(4-n)^3}{|n-4|}$$ for all positive integers n≠4, While $$A_4 = 16$$. For which integer value of k greater than 2 is the mean of all values in the sequence form $$A_1$$ through $$A_k$$ equal to the median of those values?

a) 6
b) 7
c) 8
d) 9
e) 10

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Joined: 17 Jan 2019
Posts: 6
Re: In a certain sequence, the term [m]A_n[/m] is given  [#permalink]

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28 Jan 2019, 20:06
A1=16-3
A2=16-4
A3=16-1
A4=16+/-0
A5=16+1
A6=16+4
A7=16+3

The Median and the Mean of A1-A7 are both 16. k=7→(B)

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Joined: 12 Sep 2017
Posts: 139
Re: In a certain sequence, the term [m]A_n[/m] is given  [#permalink]

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29 Jan 2019, 17:19
Afc0892 wrote:
In a certain sequence, the term $$A_n$$ is given by the formula $$A_n = 16 - \frac{(4-n)^3}{|n-4|}$$ for all positive integers n≠4, While $$A_4 = 16$$. For which integer value of k greater than 2 is the mean of all values in the sequence form $$A_1$$ through $$A_k$$ equal to the median of those values?

a) 6
b) 7
c) 8
d) 9
e) 10

Hello Afc0892 !

Could you please provide the explanation?

Re: In a certain sequence, the term [m]A_n[/m] is given   [#permalink] 29 Jan 2019, 17:19
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