Question

Question 3 of 10

Which of the following are recursive formulas for the nth term of the following
geometric sequence?
Check all that apply.
39
2'4'
1,
A. an
38-1
2
B. 3 = 233-1
3
M
C. an 23-1
D. 8
11
2/3
3/2
►

Answer 1

Explanation:

The recursive formula for a geometric sequence is a formula that relates each term to the preceding term(s). In a geometric sequence with a common ratio of r, the recursive formula is typically of the form: an = r * an-1.

Let's analyze the given options:

A. an = 38-1/2: This is not a valid recursive formula for a geometric sequence as it does not involve a common ratio.

B. an = 3 * 233-1/3: This is not a valid recursive formula for a geometric sequence as it does not follow the format an = r * an-1.

C. an = 23-1: This is not a valid recursive formula for a geometric sequence as it does not involve a common ratio.

D. an = 8/11 * an-1: This is a valid recursive formula for a geometric sequence as it follows the format an = r * an-1, where the common ratio is 8/11.

Based on the analysis, the recursive formula that applies to the given geometric sequence is:

D. an = 8/11 * an-1.

Note: The options "39," "2'4'1," "3 = 233-1/3," and "2/3" are not valid recursive formulas for a geometric sequence.