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30 August, 14:14

The second term in a geometric sequence is 12. the fourth term in the same sequencce is 4/3. what is the common ratio in this sequence?

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  1. 30 August, 16:21
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    Geo is

    an=a1r^ (n-1)

    2nd term is 12

    4th term is 4/3

    a2=a1r^ (2-1) = 12

    a2=a1r=12

    a4=a1r^ (4-1) = 4/3

    a4=a1r^3=4/3

    we have

    a1r=12 and a1r^3=4/3

    (a1r^3) / (a1r) = r^2 = (4/3) / 12=1/9

    1/9=r^2

    sqrt oth sides

    1/3=r

    the common ratio is 1/3
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