https://file.aiquickdraw.com/mathbot/file/17260980290893xnk0ruc.jpg

The image shows the sum:

\[
1 + 2 + 3 + 4 + 5 + \dots + 50
\]

This is an arithmetic series, where the first term \(a = 1\), the last term \(l = 50\), and the number of terms \(n = 50\). The formula for the sum \(S_n\) of an arithmetic series is:

\[
S_n = \frac{n}{2} \times (a + l)
\]

Substituting the known values:

\[
S_{50} = \frac{50}{2} \times (1 + 50) = 25 \times 51 = 1275
\]

So, the sum is **1275**.

Would you like further details or clarifications?

Here are 5 related questions:
1. What is the general formula for an arithmetic sequence?
2. How would the sum change if the sequence ended at 100 instead of 50?
3. How do you determine the common difference in an arithmetic series?
4. What is the difference between an arithmetic series and a geometric series?
5. How would you approach the sum of an infinite arithmetic series?

**Tip**: For large arithmetic series, knowing the first and last term helps you compute the sum much faster!

Learn how to calculate the sum of the arithmetic series 1 + 2 + 3 + ... + 50 using the formula for the sum of an arithmetic series. This problem covers key concepts like summation and arithmetic progression. Suitable for students in Grades 6-8.

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