1-4 2 Subtraction Explained
Key Concepts of 1-4 2 Subtraction
The term "1-4 2 Subtraction" refers to a specific pattern in subtraction where each number is subtracted by its quadruple and then by its double. This pattern can be visualized as a sequence where each step involves subtracting a larger number first and then a smaller number.
Explanation of the Pattern
The pattern "1-4 2" can be broken down as follows:
- 1: Start with a number, say \( n \).
- 4: Subtract the quadruple of the number, \( 4n \).
- 2: Subtract the double of the number, \( 2n \).
This process repeats, creating a sequence where each step involves subtracting the quadruple and then the double of the original number.
Examples and Analogies
Example:
Let's start with the number 5. The sequence would be:
1. \( 5 \)
2. Subtract quadruple: \( 5 - 4 \times 5 = 5 - 20 = -15 \)
3. Subtract double: \( -15 - 2 \times 5 = -15 - 10 = -25 \)
The sequence is: \( 5 \), \( -15 \), \( -25 \), and so on.
Why is this Important?
Understanding the 1-4 2 pattern in subtraction helps in recognizing and predicting sequences, which is crucial in various mathematical applications, including algebra, number theory, and computer science. It also enhances your ability to identify and work with patterns in data and sequences.