Question

How do you find the common ratio for `10,5,5/2,5/4,5/8,...`?

Answer 1

`10xx1/2=2; 5xx1/2=5/2; 5/2xx1/2=5/4; 5/4xx1/2=5/8; 5/8xx1/2=5/16............`

Explanation:

The `n^(th)` term is `10/2^(n)`, `n=0,1,2,3.....`

To find the ratio divide successive terms: `10/5=2;5xx2/5=2;5/2xx4/5=2`.