Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 22,16,10

Answer 1

From the question we are given the sequence

`22,16,10`

We are to determine if the sequence is arithmetic or geometric

This will be done by find checking if the sequence has a common ratio or a common difference

Hence, from the sequence we can deduce that

`16-22=10-16=-6`

Therefore the common difference = -6

But

`(16)/(22)\\e(10)/(16)`

Hence the sequence does not have a common ratio

Finally

The sequnce has a common difference of -6 hence it ia an arithmetic sequence