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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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Posted:
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If the sequence S has 300 terms, what

Post Thu Jul 27, 2017 12:15 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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 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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    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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