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The image you've provided contains a mathematical problem. To assist further, I'll now analyze the content and provide a solution. It appears to involve a sequence and likely a summation or a related calculation.

Let me extract the details first.The problem appears to involve summing a sequence: \( T_n = 2n, 5n, 10n^2, 8n - 5 \), with \( n = 1, 2, 3 \) for each term. You are asked to find the value of the given terms when \( n = 3 \).

Let's break this down and compute the result for each term step-by-step.

1. \( T_1 = 2n = 2(3) = 6 \)
2. \( T_2 = 5n = 5(3) = 15 \)
3. \( T_3 = 10n^2 = 10(3^2) = 10(9) = 90 \)
4. \( T_4 = 8n - 5 = 8(3) - 5 = 24 - 5 = 19 \)

Now, the total sum of the sequence will be:
\[
T_1 + T_2 + T_3 + T_4 = 6 + 15 + 90 + 19 = 130
\]

So the answer is \( 130 \).

Would you like further details or have any questions?

Here are 5 related questions for deeper exploration:
1. How does the structure of a sequence affect the summation process?
2. What are common types of sequences, and how do you differentiate them?
3. How can you generalize formulas for summing arithmetic and geometric series?
4. What happens to a sequence's sum as \( n \) approaches infinity?
5. Can you apply this sequence summation to a real-world problem?

**Tip:** When working with sequences, always identify whether the sequence follows a specific pattern (e.g., arithmetic, geometric) to simplify the sum calculation.

Sum the sequence of the following terms: T_1 = 2n, T_2 = 5n, T_3 = 10n^2, T_4 = 8n - 5, with n = 3. Find the sum of these terms.

Find the sum of the sequence with terms T_1 = 2n, T_2 = 5n, T_3 = 10n^2, T_4 = 8n - 5, when n = 3. This problem covers key algebraic concepts related to sequences and summation. Suitable for students in Grades 6-8.

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