Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. . 4,2,1,...

Answer 1

Answer: Geometric sequence

Explanation:

The common ratio will be:

= 2nd term / 1st term

= 2/4

= 1/2

Also, Using thw 3rd and 2nd term gives:

= 1/2

Common difference will be:

= 2nd term - 1st term

= 2 - 4

= -2

Using thw 3rd and 2nd term gives:

= 1 - 2

= -1

From the above, we can see that it's a geometric progression as the common ratio is thesame.