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12 December, 04:33

If n represents a number in the following sequence, the next term in the sequence can be determined by using which of the following expressions? 1, 3, 9, 27 ...

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Answers (2)
  1. 12 December, 07:58
    0
    27/3=9/3=3/3=1

    r=3

    a1 * (3) ^ (n-1)

    a1=1

    3^ (n-1)
  2. 12 December, 08:21
    0
    An=a1 (r) ^ (n-1)

    a1=first term

    an=nth term

    r=common ratio

    n=which term

    each term is 3 times the previous

    seems to be a geoemetric sequence

    common ratio is 3

    first term is 1

    so

    an=1 (3) ^ (n-1)

    the next term can be found by doing

    f (n+1) = 3f (n)
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