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# In a certain sequence, each term except for the two first terms is the

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Math Expert
Joined: 02 Sep 2009
Posts: 54496
In a certain sequence, each term except for the two first terms is the  [#permalink]

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21 Mar 2017, 09:09
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15% (low)

Question Stats:

83% (01:15) correct 17% (01:08) wrong based on 119 sessions

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In a certain sequence, each term except for the two first terms is the sum of the two previous terms. What is the value of the first term in the sequence?

(1) The third term is 2.

(2) The fourth term is 3.

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Joined: 06 Dec 2016
Posts: 245
Re: In a certain sequence, each term except for the two first terms is the  [#permalink]

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21 Mar 2017, 11:46
1 is insufficient because the first and the second numbers could be anything that adds up to 2
2 is insufficient because we do not know any numbers prior 3.

If we combine 1 & 2 together, 1 and 1 are the first two numbers
1, 1, 2, 3

Manager
Joined: 02 Feb 2016
Posts: 88
GMAT 1: 690 Q43 V41
Re: In a certain sequence, each term except for the two first terms is the  [#permalink]

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13 Jun 2017, 12:11
1
Unknown: 4 variables.
Combining both statements: 4 equations.

Intern
Joined: 26 Jul 2016
Posts: 41
Location: India
Re: In a certain sequence, each term except for the two first terms is the  [#permalink]

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13 Jun 2017, 21:42
St 1.--> many combinations possible to get 2--> insufficient
St. 2--> many combinations possible to get 3--> insufficient
1+2---> Second term is 1. Hence first term also 1--> Sufficient.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: In a certain sequence, each term except for the two first terms is the  [#permalink]

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06 Jul 2017, 17:18
1
Bunuel wrote:
In a certain sequence, each term except for the two first terms is the sum of the two previous terms. What is the value of the first term in the sequence?

(1) The third term is 2.

(2) The fourth term is 3.

We are given that in a certain sequence, each term except for the two first terms is the sum of the two previous terms. We need to determine the value of the first term.

Statement One Alone:

The third term is 2.

We can let the first term equal a and the second term equal b. Thus:

a + b = 2

Since we cannot determine either a or b, statement one alone is not sufficient.

Statement Two Alone:

The fourth term is 3.

We can let the third term equal c and the second term equal b. Thus:

b + c = 3

Since we cannot determine either b or c (let alone the first term of the sequence), statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using statements one and two, we see that a + b = 2 and b + c = 3. Statement one tells us that the third term c = 2, so b = 1, and thus a = 1. Therefore the first term in the sequence is 1.

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Re: In a certain sequence, each term except for the two first terms is the   [#permalink] 06 Jul 2017, 17:18
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