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what is the sum of the first four terms of sequence S?

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what is the sum of the first four terms of sequence S?  [#permalink]

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New post 01 Jul 2016, 04:57
11
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

60% (02:22) correct 40% (02:02) wrong based on 365 sessions

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What is the sum of the first four terms of sequence S?

(1) After the first two terms of S,the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.

(2) The average (arithmetic mean) of the first three terms of S is 10.

OG Q 2017 New Question(Book Question: 219)

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Re: what is the sum of the first four terms of sequence S?  [#permalink]

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New post 01 Jul 2016, 06:33
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AbdurRakib wrote:
What is the sum of the first four terms of sequence S?

(1) After the first two terms of S,the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.

(2) The average (arithmetic mean) of the first three terms of S is 10.

OG Q 2017 New Question(Book Question: 219)


E

Assume 1st term a nd 2nd term b.

From 1st statement, 3rd term (c) = (a+b)/2

4th term = (b +c)/2

From 2nd statement, (a+b+c)/3 =10
a+b+ (a+b)/2 =30

a+b = 20
Therefore, c=10

4th term = (b+c)/2

( we find out the sum of a and b but we can't say anything about individual values. Since, a can be 1,2.....so on and correspondingly b can be 19,18....so on)

So the answer is E






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Re: what is the sum of the first four terms of sequence S?  [#permalink]

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New post 05 Aug 2018, 16:54
AbdurRakib wrote:
What is the sum of the first four terms of sequence S?

(1) After the first two terms of S,the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.

(2) The average (arithmetic mean) of the first three terms of S is 10.

OG Q 2017 New Question(Book Question: 219)


(1) We could make S anything.

Not Sufficient.


(2) Plug in numbers.

9, 10, 11, 100. Satisfies statement and sum is 130
9, 10, 11, 12. Satisfies statement and sum is 42.

Not Sufficient.


(1) + (2) Plug in numbers.

9, 11, 10, 10.5. Satisfies both statments and sum is 40.5

5, 15, 10, 12.5. Satisfies both statements and sum is 42.5

Not Sufficient.

Answer: E
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Re: what is the sum of the first four terms of sequence S? &nbs [#permalink] 05 Aug 2018, 16:54
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