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If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?

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by BTGmoderatorDC » Sun Mar 15, 2020 4:40 pm

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Answers

A

B

C

D

E

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Difficulty—

If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?

(1) Each odd-numbered term is either 0 or 2.
(2) The 3rd term is 2.


OA E

Source: Official Guide
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Re: If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?

by Jay@ManhattanReview » Mon Mar 16, 2020 12:44 am
BTGmoderatorDC wrote: ↑
Sun Mar 15, 2020 4:40 pm
 If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ?

(1) Each odd-numbered term is either 0 or 2.
(2) The 3rd term is 2.

OA E

Source: Official Guide
Let's take each statement one by one.

(1) Each odd-numbered term is either 0 or 2.

The 5th term can be 0 or 2. No unique answer. Insufficient.

(2) The 3rd term is 2.

No information about the 5th term. We cannot assume that the given sequence is an arithmetic series.
Had the given sequence been an arithmetic series, the 5th term would be 4. The answer would be no. However, it is not so.

(1) and (2) together

The 5th term can still be 0 or 2. No unique answer. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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