What is the formula for the nth term?: -3, 6, -12, 24...?

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  • Anonymous
    1 decade ago
    Favorite Answer

    The nth term is (3/2) (-2)^n for n = 1, 2, 3, ,,,,,

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    Formula for nth term of a geometric progression:

    (g sub n) = (g sub 1) (r) ^ ( n - 1 )

    g sub n = ( -3) (-2) ^ (n - 1 )

    g sub n = ( -3 ) [ (-2) ^ n times (-2) ^ (-1) ]

    g sub n = (-3) (-2) ^ n times (-1/2)

    g sub n = (-3) (-1/2) (-2) ^ n

    (g sub n) = 3/2 ( -2) ^ n <------- ANS

  • Anonymous
    1 decade ago

    X -2, so the sequence would go -3, 6, -12, 24, -48, 96, -192, 384, -768, 1536, -3072, 6144, etc.

    Source(s): a calculator
  • 1 decade ago

    nth term = -2x.

    Notice each one of your numbers is twice as much as the last number and is also the opposite sign. So, you must double the last number and then change the sign.

    Source(s): Math Teacher!!
  • 6 years ago

    -2

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  • 1 decade ago

    a (sub n) = [(-1)^n](3n) is the correct notation, n being the term (1st, 2nd, etc) and a (sub n) being the value (-3, 6, -12, etc).

  • Anonymous
    1 decade ago

    negative two x times the place that you want it starting at negative 3

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