Question

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

Answer 1

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`