347,481 views
33 votes
33 votes
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.16,8,4,...

User Mikej
by
2.7k points

1 Answer

20 votes
20 votes

Given sequence is geometric sequence and common ratio between consecutive term is


16,8,4

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence, 16, 8, 4, ...

Since, common difference = 8 - 16 ≠ 4 - 8 , this is not arithmetic sequence.

Common ratio = T2/T1 = T3/T2 = 8/16 = 4/8 = 1/2 Because common ratio is are equal. Thus, given sequence is geometric sequence.

Hence the sequence is a geometric sequence and the common ratio = 1/2

User Guillaume Voiron
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.