Simpler calculation using a formula generally means utilizing a mathematical formula to streamline computations instead of performing lengthy arithmetic. Here’s an example:

Example: Sum of the First $n$ Natural Numbers

The formula to calculate the sum is: $S = \frac{n(n+1)}{2}$

Instead of adding numbers manually, such as $1 + 2 + 3 + \dots + 100$, you can directly use the formula: $S = \frac{100(100+1)}{2} = \frac{100 \times 101}{2} = 5050$

This eliminates repetitive addition, making the calculation faster.

Would you like me to expand on this example or assist with a different formula? Let me know!

5 Related Questions:

1. How can I simplify calculations using the quadratic formula?
2. What is the formula for calculating compound interest?
3. How do you calculate the area of a circle using a formula?
4. Can you explain a quick way to find the sum of an arithmetic series?
5. How is the Pythagorean theorem applied in practical problems?

Tip: Memorizing common formulas for areas, volumes, series, and equations can significantly speed up solving problems without repetitive computations.