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Sequence

This topic has 1 expert reply and 0 member replies

Sequence

Post Mon Sep 18, 2017 1:44 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.

    a. statement 1 and 2 are insufficient
    b. statement 1 is sufficient and statement 2 is insufficient
    c. statement 1 is insufficient and statement 2 is sufficient
    d. Both statement are sufficient
    OA is b

    what is wrong with statement 1 and 2 in this question?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Mon Sep 18, 2017 2:12 pm
    I am reposting the question with the ORIGINAL/OFFICIAL 5 answer choices that accompany all GMAT Data Sufficiency questions.

    Quote:
    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.

    (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
    (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
    (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
    (D) EACH statement ALONE is sufficient.
    (E) Statements (1) and (2) TOGETHER are NOT sufficient.

    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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