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After the first number in the sequence, each number in sequence T

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After the first number in the sequence, each number in sequence T  [#permalink]

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New post Updated on: 22 Oct 2019, 23:14
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EMPOWERgmat PS Series:
Pack 3, Question 4

After the first number in the sequence, each number in sequence T is 2.5 more than the previous number. If the average (arithmetic mean) of the set is -10, what is the median of the sequence?

(A) -25
(B) -10
(C) -8.5
(D) -4
(E) There is not enough information to answer the question.



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Originally posted by EMPOWERgmatRichC on 18 Oct 2019, 18:10.
Last edited by EMPOWERgmatRichC on 22 Oct 2019, 23:14, edited 1 time in total.
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Re: After the first number in the sequence, each number in sequence T  [#permalink]

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New post 18 Oct 2019, 20:28
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EMPOWERgmatRichC wrote:

After the first number in the sequence, each number in sequence T is 2.5 more than the previous number. If the average (arithmetic mean) of the set is -10, what is the median of the sequence?

(A) -25
(B) -10
(C) -8.5
(D) -4
(E) There is not enough information to answer the question.


Let the first number be X, then the sequence is x, x+2.5, x+5, ...

So, T is an Arithmetic Progression with common difference as 2.5, and in an AP, the median and average are always equal, so median=average=-10
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Re: After the first number in the sequence, each number in sequence T  [#permalink]

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New post 19 Oct 2019, 08:02
chetan2u wrote:
EMPOWERgmatRichC wrote:

After the first number in the sequence, each number in sequence T is 2.5 more than the previous number. If the average (arithmetic mean) of the set is -10, what is the median of the sequence?

(A) -25
(B) -10
(C) -8.5
(D) -4
(E) There is not enough information to answer the question.


Let the first number be X, then the sequence is x, x+2.5, x+5, ...

So, T is an Arithmetic Progression with common difference as 2.5, and in an AP, the median and average are always equal, so median=average=-10


But the question never tells us about the total integers in the sequance. it can only be same if there were even number of integers
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Re: After the first number in the sequence, each number in sequence T   [#permalink] 19 Oct 2019, 08:02
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