How do you find the missing term in the geometric sequence 9/4, 3/4, 1/4, 1/12, __?

1 Answer
Shwetank Mauria
Dec 18, 2016

Missing term is 1/36

Explanation:

In the given geometric sequence {9/4,3/4,1/4,1/12,-}, let us first the common ratio r, which is the ratio between a term and its preceding term.

Note that it means that succeeding term is peceding term multiplied by common ratio.

r=(1/12)/(1/4)=(1/4)/(3/4)=(3/4)/(9/4) or

r=1/12xx4/1=1/4xx4/3=3/4xx4/9=1/3

Hence, the last missing term is 1/12xx1/3=1/36

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