what equals 72

Guri Bee

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21-10-2024

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Unlocking the Mysteries of 72: A Mathematical Exploration

The number 72 holds a curious fascination in mathematics, appearing in various equations and concepts. But what exactly equals 72? Let's dive into the world of numbers and discover some fascinating ways to reach this intriguing sum.

Simple Arithmetic: The Foundation

At its core, 72 can be achieved through basic arithmetic operations. For instance:

• Addition: 36 + 36 = 72
• Subtraction: 100 - 28 = 72
• Multiplication: 9 x 8 = 72
• Division: 144 / 2 = 72

These are straightforward examples, but we can explore more complex expressions involving 72.

Exploring Beyond the Basics

Let's delve into some intriguing examples from the realm of mathematics:

1. Factorials: As per a helpful comment on Github by user "jupyter-user," we can express 72 using factorials:

• 7! / 5! = 72 (This is equivalent to 7 x 6 x 5 x 4 x 3 x 2 / 5 x 4 x 3 x 2 = 7 x 6 = 42).

2. Fibonacci Sequence: While 72 itself is not a Fibonacci number, it can be expressed as the sum of consecutive Fibonacci numbers:

• 13 + 21 + 38 = 72

3. Powers and Exponents: We can use powers and exponents to arrive at 72:

• 2^6 + 2^2 = 72 (This is equivalent to 64 + 4 = 72)

4. Algebraic Equations: A simple algebraic equation like:

• x + 2x = 72 has the solution x = 24.

5. The Rule of 72: While not directly related to "equaling 72," the "Rule of 72" is a famous financial tool that uses 72 to estimate the time it takes for an investment to double at a given interest rate. For example, if an investment grows at 8% per year, it will take approximately 9 years (72/8) to double.

Conclusion: The Many Faces of 72

This exploration demonstrates that 72 can be expressed in countless ways using various mathematical operations and concepts. From basic arithmetic to factorials and Fibonacci sequences, the number 72 reveals itself to be a versatile and intriguing element within the world of mathematics.

This article aimed to go beyond simple arithmetic and delve into the hidden mathematical beauty of the number 72, proving that even seemingly ordinary numbers can harbor fascinating connections and representations.