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If the sequence S has 300 terms, what

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jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
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If the sequence S has 300 terms, what

Post Thu Jul 27, 2017 12:15 pm
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Official Guide question
Answer: A

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Post Thu Jul 27, 2017 9:45 pm
jjjinapinch wrote:
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Official Guide question
Answer: A
This is a typical sequence question. For a sequence question, you need to know the pattern or the logic behind the subsequent term.

Statement 1:

We have T_298 = -616;

It is given that each term of S after the first is 2 less than the preceding term.

Thus,

T_298 = T_297 - 2;

Thus, T_297 = -616 + 2 = -614

On a similar basis, we can certainly reach to any term whether it is the 293rd term of the first term. We are sure to get the unique answer. Sufficient.

Statement 1:

We only know the value of the first term; we must know how the sequence is arranged to get the answer Insufficient.

The correct answer: A

Hope this helps!

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Post Thu Jul 27, 2017 12:45 pm
jjjinapinch wrote:
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Official Guide question
Answer: A
Target question: What is the 293rd term of S?

Statement 1: The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
So, each term is 2 less than the previous term.
Since term_298 = -616, we can conclude that:
term_297 = -614
term_296 = -612
term_295 = -610
So, we COULD keep going to determine the value of term_293 (which happens to be -606)
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The first term of S is -22.
Since this statement tells us nothing about the NATURE of the sequence, there's no way to determine the value of term_293
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent

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