Knowee
Questions
Features
Study Tools

Which pair is an example of a finite geometric sequence? I.    1, 2, 4, 8, 16, 32II.   1, 3, 9, 27, 81, ...III.  1, 4, 16, 64, 256IV.  1, 5, 25, 125, 625, ...Select one:a. I and IIb. I and IIIc. II and IIId. II and IV

Question

Which pair is an example of a finite geometric sequence? I.    1, 2, 4, 8, 16, 32II.   1, 3, 9, 27, 81, ...III.  1, 4, 16, 64, 256IV.  1, 5, 25, 125, 625, ...Select one:a. I and IIb. I and IIIc. II and IIId. II and IV

🧐 Not the exact question you are looking for?Go ask a question

Solution

The answer is b. I and III.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

In option I, the common ratio is 2 (each term is twice the previous term). In option III, the common ratio is 4 (each term is four times the previous term).

Option II and IV are infinite geometric sequences because the ellipsis (...) at the end indicates that the sequence continues indefinitely.

This problem has been solved

Similar Questions

Which of the following sequences are not geometric?Check all that apply.A.1, 1, 2, 3, 5, 8, 13, 21B.2, 10, 50, 250, 1250C.-4, -2, -1, -0.5, -0.25, -0.125D.1, 4, 9, 16, 25, 36SUBMITarrow_backPREVIOUS

Let be a geometric sequence.If and , what is ?

Explain the difference between an arithmetic sequence and a geometric sequence. Givean example of each type of sequence as part of your explanation

Determine whether or not the sequence is geometric. If it is, find the common ratio r. (If an answer does not exist, enter DNE.)8, 32, 128, 512, . . .

What are the next three terms of the geometric sequence 8, 4, 2, ____, ____, ____ ?Select one:a. 1, 0, -1b. 1, 0.5, 0c. 1, 0.5, -0.5d. 1, 0.5, 0.25

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.