Question

At sunset one winter night, the air temperature begins to drop at a constant rate. An hour after sunset, Yolanda begins to take outdoor thermometer readings in degrees Celsius. Her first reading is seven, and an hour later she takes a reading of five. Her next two hourly readings are three and one, respectively. Her reading five hours after sunset is negative one. Classify the sequence by completing the sentence. The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences. Because the terms of the sequence have a common difference , the sequence is arithmetic . The following sentence or sentences contain missing information in the form of one or more blanks. For each blank, there will exist a corresponding input field. Use the input fields to complete the sentence or sentences. The first term is 7. Each term is equal to the previous term plus a common difference. The common difference is

Answer 1

The sequence of temperature readings taken by Yolanda is arithmetic because there is a common difference of -2 degrees Celsius between consecutive readings.

Step-by-step explanation:

The question involves a sequence of hourly temperature readings taken by Yolanda and whether this sequence can be classified as arithmetic.

To determine this, we look at the change in temperature readings over time. If the sequence has a common difference between each term, it is an arithmetic sequence.

Examining the readings, which are 7, 5, 3, 1, and -1 degrees Celsius taken at one-hour intervals, we can see that each term is 2 degrees less than the term before it.

Therefore, because the terms of the sequence have a common difference of -2, the sequence is indeed arithmetic. This is evident because each term is equal to the previous term plus a common difference of -2 degrees Celsius per hour.