The sum of the first \( n \) natural numbers can be computed using the following formula:

\[
S = \frac{n(n+1)}{2}
\]

This formula allows you to calculate the sum of the sequence \( 1 + 2 + \cdots + n \).

### Example:
For \( n = 5 \):
\[
S = \frac{5(5+1)}{2} = \frac{5 \times 6}{2} = 15
\]

Would you like more details on how this formula is derived or have any further questions?

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Here are five related questions to expand your understanding:
1. How can you prove the sum formula for \( n \) natural numbers using induction?
2. What is the sum of the first \( n \) even numbers?
3. How would you modify the formula to sum only the odd numbers up to \( n \)?
4. How does the sum formula change for an arithmetic sequence with a common difference other than 1?
5. Can you find the sum of squares of the first \( n \) natural numbers?

**Tip**: Understanding the sum of sequences helps solve many types of arithmetic and algebraic problems effectively!

Learn how to find the sum of the first n natural numbers using the formula S = n(n+1)/2. Explore a step-by-step example calculation and understand the arithmetic sequence concepts. Perfect for students in Grades 6-8.

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