High School

We appreciate your visit to What is the common difference of an arithmetic progression AP if the assertion of terms in the AP is 7 4 1 4 2 4. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the common difference of an arithmetic progression (AP) if the assertion of terms in the AP is 7 - 4?

1) -4
2) 4
3) 7
4) Cannot be determined

Answer :

Final Answer:

The information provided in the assertion "7 - 4" does not indicate a consistent common difference in the arithmetic progression (AP).So the correct option is 4) Cannot be determined

Explanation:

In an arithmetic progression (AP), the common difference (d) is the difference between any two consecutive terms. Given the assertion "7 - 4", it implies that the difference between the terms of the AP is changing, suggesting a non-constant common difference. Therefore, the common difference cannot be determined from the given information.

In an arithmetic progression, the difference between consecutive terms remains constant. If the difference between terms varies, it signifies a lack of a fixed common difference. In this case, the difference fluctuates between 7 and 4, indicating the absence of a consistent rate of change.

Hence, it's impossible to ascertain the common difference of the arithmetic progression without further clarification or additional data. Therefore, the correct choice is option 4) Cannot be determined.

So the correct option is 4) Cannot be determined

Thanks for taking the time to read What is the common difference of an arithmetic progression AP if the assertion of terms in the AP is 7 4 1 4 2 4. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada