225k views
2 votes
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0

User Markbaldy
by
4.9k points

1 Answer

4 votes

Answer:

The sequence is geometric and the common ratio is 2

Explanation:

A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

6 * 2 = 12

12 * 2 = 24

The sequence is geometric and the common ratio is 2

User Xpt
by
5.3k points