Which of the following statements correctly determines the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, . . .? (1 point)

Question

Responses

Multiply by the common difference of −3.5.
Multiply by the common difference of negative 3.5 .

Add the common ratio of −3.5.
Add the common ratio of negative 3.5 .

Multiply by the common ratio of −3.5.
Multiply by the common ratio of negative 3.5 .

Add the common difference of −3.5.
Add the common difference of negative 3.5 .

Answer 1

To determine the rule for generating the next term in the sequence 23, 19.5, 16, 12.5, we first identify the pattern of the sequence.

1. Calculate the differences between consecutive terms:
   • 19.5 - 23 = -3.5
   • 16 - 19.5 = -3.5
   • 12.5 - 16 = -3.5

Since the difference between each term is consistently -3.5, this indicates that the sequence is arithmetic, where we add a common difference to get the next term.

Given these observations, the correct statement that describes how to find the next term in the sequence is:

Add the common difference of −3.5.