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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 Gmat_mission » Fri Jan 08, 2021 4:16 am

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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.

Answer: E

Source: Official Guide
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Source: — Data Sufficiency |

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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 Brent@GMATPrepNow » Thu Jan 14, 2021 7:32 am
Gmat_mission wrote: ↑
Fri Jan 08, 2021 4:16 am
 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.

Answer: E

Source: Official Guide
Given: term1 = 0 and term2 = 1

Target question: Does term5 equal 2?
Once we scan the two statements, we can probably jump straight to
.
.
.
Statements 1 and 2 combined
There are several possible sequences that satisfy BOTH statements. Here are two:
Case a: {0, 1, 2, 0, 2,...}. In this case, the answer to the target question is YES, term5 IS 2
Case b: {0, 1, 2, 0, 0,...}. In this case, the answer to the target question is NO, term5 is NOT 2
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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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 deloitte247 » Fri Jan 15, 2021 2:58 pm
1st term = 0, an 2nd term = 1
Target question => Is the 5th term 2?

Statement 1: Each odd-numbered term is either 0 or 2.
The fifth term is an odd-numbered term, so, the 5th term is either 0 or 1. Since the answer is not definite, statement 1 is NOT SUFFICIENT.

Statement 2: The 3rd term is 2.
The information provided does tell anything about the 5th term, hence, statement 2 is NOT SUFFICIENT.

Combining both statements together:
From the information in statement 1 and 2, the 3rd term is 2 and the 5th term is either 0 or 2. Since the answer is not definite, then combining both statements together do not answer the target question.

Therefore, both statements combined together are NOT SUFFICIENT. Hence, option E is the correct answer.
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