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19 April, 16:36

Find the common ratio for the following sequence. 27, 9, 3, 1, ... User: Find the common ratio for the following sequence. 1/2,-1/4, 1/8, - 1/16 User: What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? 243 729 2,187

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  1. 19 April, 18:34
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    R=common ratio = an / an-1

    27,9,3,1 ...;

    r=an/an-1 = a₂/a₁=9/27=1/3

    r=1/3.

    1/2,-1/4,1/8,-1/16

    r=an/an-1 = (-1/4) / (1/2) = - 2/4=-1/2

    r=-1/2.

    a₁=1

    r=3

    an=a₁*r^ (n-1)

    a₇=1.3⁷⁻¹=3⁶=729

    a₇=729
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