https://file.aiquickdraw.com/mathbot/file/17254160176179shb7aig.jpg

The expression in the image is a summation, written as:

\[
\sum_{n=1}^{7} n
\]

This notation indicates that you sum the values of \( n \) from 1 to 7. Specifically, the expression is asking for the sum of the first 7 natural numbers.

The sum can be computed as follows:

\[
1 + 2 + 3 + 4 + 5 + 6 + 7
\]

Adding these together:

\[
1 + 2 = 3
\]
\[
3 + 3 = 6
\]
\[
6 + 4 = 10
\]
\[
10 + 5 = 15
\]
\[
15 + 6 = 21
\]
\[
21 + 7 = 28
\]

Thus, the sum is \( 28 \).

Alternatively, you can use the formula for the sum of the first \( n \) natural numbers:

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

For \( n = 7 \):

\[
\text{Sum} = \frac{7(7+1)}{2} = \frac{7 \times 8}{2} = \frac{56}{2} = 28
\]

The result is the same: the sum is \( 28 \).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you derive the formula for the sum of the first \( n \) natural numbers?
2. What would the sum be if the upper limit were 10 instead of 7?
3. How do you find the sum of an arithmetic series?
4. What is the general formula for the sum of an arithmetic progression?
5. Can you express the sum of squares of the first \( n \) natural numbers?

**Tip:** Understanding summation notation is essential, as it is widely used in calculus and higher mathematics to represent the sum of a sequence of terms.

What is the sum of the first 7 natural numbers?

Discover how to calculate the sum of the first 7 natural numbers using both direct addition and the arithmetic progression sum formula. This step-by-step guide is perfect for students in Grades 6-8.

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