Please question number 8 Fast?

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  • 5 months ago

    The nth term of that sequence could be:

    -(31/120)n^4 + (77/24)n^3 - (335/24)n^2 + (595/24)n - (887/60)

    In that case:

    Term 6 is -31/3

    Term 7 is -45

    Term 8 is -501/4

  • 5 months ago

    Find a possible formula for the nth term of a sequence whose first five terms are given,

    and use this formula to write the next three terms of the sequence.

    -1, 1/2, -1/3, 1/4, -1/5, ...

    an = (-1)^n/n

    The next three terms of the sequence: 1/6, -1/7, 1/8, ...

  • geezer
    Lv 7
    5 months ago

    SERIOUSLY .. You can't do the easiest one there ?

  • 5 months ago

    As for what the formula is, the numerators are a geometric sequence starting with -1 and a common ratio of -1, or:

    -1 * (-1)^(n - 1)

    Since we have two numbers of the same base we can add the exponents to simplify to get:

    (-1)^n

    Then the denominator is an arithmetic sequence starting with 1 and increasing by 1:

    1 + 1(n - 1)

    Which simplifies to:

    1 + n - 1

    n

    So combining them, your expression for the "n"th term of this sequence is:

    (-1)^n / n

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  • David
    Lv 7
    5 months ago

    By following the pattern the next three terms are: 1/6, -1/7, 1/8

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