Question

Find the common ratio for the following sequence. 64, 16, 4, 1, ... -4 -1/4 1/4 4

Answer 1

`(1)/(4)`

Explanation:

THe sequence 64,16,4,1 as you can see it´s actually going down or decreasing, so the ratio should be a fraction, in order to find that you just have to pair two terms that are next to eachother in the sequence to find the fraction, let´s try it with the first two: 64 and 16:

`(16)/(64) =(8)/(32)=(4)/(16)=  (2)/(8)=(1)/(4)`

So the ratio is 1/4. You can confirm the ratio by using other numbers in the sequence, like the last two:

`(1)/(4)`

This is the ratio directly.

Answer 2

The common ration is the quotient between two successful numbers;

`(16)/(64)`
=
`(1)/(4)`