https://file.aiquickdraw.com/mathbot/file/1734178769759vlnvw3g8.jpg

The summation notation in the image is:

\[
\sum_{j=1}^{2} (5j)
\]

This means you sum the expression \( 5j \) as \( j \) takes on the integer values from \( j = 1 \) to \( j = 2 \).

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### Step-by-Step Solution:

1. For \( j = 1 \):
   \[
   5 \cdot 1 = 5
   \]

2. For \( j = 2 \):
   \[
   5 \cdot 2 = 10
   \]

3. Add these results:
   \[
   5 + 10 = 15
   \]

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### Final Answer:
\[
\sum_{j=1}^{2} (5j) = 15
\]

Would you like me to explain more about summation notation or work on related examples? Let me know!

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### Related Questions:
1. What is the result of \(\sum_{j=1}^{3} (5j)\)?
2. How do you generalize \(\sum_{j=1}^{n} (5j)\) for any \( n \)?
3. What is the meaning of summation notation, and where is it used?
4. How can you compute \(\sum_{j=1}^{4} (2j + 3)\)?
5. Can you write the sum of \( 5j \) using a formula instead of calculating it step by step?

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### Tip:
To simplify summations of linear expressions like \( 5j \), remember the formula for the sum of the first \( n \) natural numbers:
\[
\sum_{j=1}^{n} j = \frac{n(n+1)}{2}.
\]

Evaluate the summation \( \sum_{j=1}^{2} (5j) \).

Discover how to solve the summation \( \sum_{j=1}^{2} (5j) \) with a clear and detailed step-by-step approach. This problem introduces summation notation, arithmetic operations, and simple formulas. Suitable for Grades 6-8.

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