Calculating the Number of Books Purchased by the Fourth Learner

Oct 13, 2025 by vinooalluri.com 128 views

In a scenario where four learners acquired books in preparation for a new term, the number of books was arranged in ascending order. The books for the first three learners were 4, 8, and 16. This information provides a clear indication that the numbers are doubling for each learner. The task at hand is to determine the number of books purchased by the fourth learner.

Identifying the Pattern

To identify the pattern, let's examine the numbers of books purchased by the first three learners:

The first learner purchased 4 books.
The second learner purchased 8 books, which is double the number of books purchased by the first learner.
The third learner purchased 16 books, which is double the number of books purchased by the second learner.

This pattern suggests that the number of books purchased by each learner is doubling from the previous learner. Therefore, to determine the number of books purchased by the fourth learner, we need to double the number of books purchased by the third learner.

Calculating the Number of Books Purchased by the Fourth Learner

To calculate the number of books purchased by the fourth learner, we need to double the number of books purchased by the third learner, which is 16.

16 × 2 = 32

Therefore, the number of books purchased by the fourth learner is 32.

Conclusion

In conclusion, the number of books purchased by the fourth learner is 32. This is based on the pattern of doubling the number of books purchased by each learner. The first three learners purchased 4, 8, and 16 books, respectively. By doubling the number of books purchased by the third learner, we determined that the fourth learner purchased 32 books.

Real-World Applications

This problem may seem simple, but it has real-world applications in various fields, such as finance, economics, and computer science. For instance, in finance, the concept of doubling is used to calculate compound interest. In economics, the concept of doubling is used to model population growth and economic growth. In computer science, the concept of doubling is used to optimize algorithms and data structures.

Tips and Tricks

To solve this problem, you need to identify the pattern of doubling and apply it to calculate the number of books purchased by the fourth learner. Here are some tips and tricks to help you solve this problem:

Look for patterns: The key to solving this problem is to identify the pattern of doubling.
Use multiplication: To calculate the number of books purchased by the fourth learner, you need to multiply the number of books purchased by the third learner by 2.
Check your work: Once you have calculated the number of books purchased by the fourth learner, check your work to ensure that it is correct.

Practice Problems

Here are some practice problems to help you reinforce your understanding of the concept of doubling:

If the first learner purchased 8 books, the second learner purchased 16 books, and the third learner purchased 32 books, how many books did the fourth learner purchase?
If the first learner purchased 16 books, the second learner purchased 32 books, and the third learner purchased 64 books, how many books did the fourth learner purchase?
If the first learner purchased 32 books, the second learner purchased 64 books, and the third learner purchased 128 books, how many books did the fourth learner purchase?

Answer Key

Here are the answers to the practice problems:

If the first learner purchased 8 books, the second learner purchased 16 books, and the third learner purchased 32 books, the fourth learner purchased 64 books.
If the first learner purchased 16 books, the second learner purchased 32 books, and the third learner purchased 64 books, the fourth learner purchased 128 books.
If the first learner purchased 32 books, the second learner purchased 64 books, and the third learner purchased 128 books, the fourth learner purchased 256 books.

Conclusion

In our previous article, we explored the concept of doubling and its application in determining the number of books purchased by the fourth learner. In this article, we will answer some frequently asked questions related to this topic.

Q: What is the pattern of book purchases?

A: The pattern of book purchases is a sequence of numbers where each number is double the previous number. In this case, the first learner purchased 4 books, the second learner purchased 8 books (double of 4), the third learner purchased 16 books (double of 8), and so on.

Q: How do I identify the pattern?

A: To identify the pattern, look for the relationship between each number. In this case, each number is double the previous number. You can also use a multiplication table to help you identify the pattern.

Q: What if the numbers are not in order?

A: If the numbers are not in order, you can still identify the pattern by looking for the relationship between each number. For example, if the numbers are 8, 16, 32, and 64, you can see that each number is double the previous number.

Q: Can I apply this pattern to other situations?

A: Yes, you can apply this pattern to other situations where numbers are doubling. For example, in finance, you can use this pattern to calculate compound interest. In economics, you can use this pattern to model population growth and economic growth.

Q: How do I calculate the number of books purchased by the fourth learner?

A: To calculate the number of books purchased by the fourth learner, you need to double the number of books purchased by the third learner. In this case, the third learner purchased 16 books, so the fourth learner purchased 32 books (16 × 2).

Q: What if I make a mistake in my calculation?

A: If you make a mistake in your calculation, you can check your work by using a multiplication table or by re-reading the problem. You can also ask for help from a teacher or a tutor.

Q: Can I use this pattern to solve other problems?

A: Yes, you can use this pattern to solve other problems where numbers are doubling. For example, you can use this pattern to calculate the number of items in a sequence, or to determine the number of people in a population.

Q: How do I practice this pattern?

A: To practice this pattern, you can try solving problems that involve doubling numbers. You can also use online resources or worksheets to help you practice.

Q: What if I get stuck on a problem?

A: If you get stuck on a problem, you can try breaking it down into smaller parts. You can also ask for help from a teacher or a tutor. Additionally, you can try using a multiplication table or a calculator to help you solve the problem.

Conclusion

In conclusion, the pattern of book purchases is a sequence of numbers where each number is double the previous number. By understanding this pattern, you can solve problems that involve doubling numbers. Remember to practice this pattern by solving problems and using online resources. If you get stuck, don't hesitate to ask for help.

Practice Problems

Here are some practice problems to help you reinforce your understanding of the pattern of book purchases:

If the first learner purchased 8 books, the second learner purchased 16 books, and the third learner purchased 32 books, how many books did the fourth learner purchase?
If the first learner purchased 16 books, the second learner purchased 32 books, and the third learner purchased 64 books, how many books did the fourth learner purchase?
If the first learner purchased 32 books, the second learner purchased 64 books, and the third learner purchased 128 books, how many books did the fourth learner purchase?

Answer Key

Here are the answers to the practice problems:

If the first learner purchased 8 books, the second learner purchased 16 books, and the third learner purchased 32 books, the fourth learner purchased 64 books.
If the first learner purchased 16 books, the second learner purchased 32 books, and the third learner purchased 64 books, the fourth learner purchased 128 books.
If the first learner purchased 32 books, the second learner purchased 64 books, and the third learner purchased 128 books, the fourth learner purchased 256 books.