https://file.aiquickdraw.com/mathbot/file/1729175784100mn0t6wx0.jpg

Let's go through the problems one by one from the image you've uploaded:

### Soal 1:
You are asked to compute the sum of the following series:
\[
\sum_{n=1}^{5} (n^2 + 3n)
\]
We can break this sum down by computing each term individually and summing them up.

### Soal 2:
You need to compute this sum:
\[
\sum_{i=2}^{4} (5i - 3)
\]
Again, you will evaluate each term from \( i = 2 \) to \( i = 4 \) and sum them.

### Soal 3:
Given the values \( x_1 = 4 \), \( x_2 = 2 \), \( x_3 = 1 \), and \( x_4 = -1 \), compute:
\[
\sum_{i=1}^{4} \left( 5x_i + \frac{4}{x_i} \right)
\]
Substitute each \( x_i \) into the expression and compute the sum.

### Soal 4:
Given the values \( x_1 = 3 \), \( x_2 = 4 \), \( x_3 = 1 \), \( y_1 = 4 \), \( y_2 = 2 \), and \( y_3 = -1 \), compute:
\[
\sum_{i=1}^{3} \left( x_i^2 + 2x_i \right) \left( 3y_i - 1 \right)^2
\]
Substitute the provided \( x_i \) and \( y_i \) values into the expression and compute the result.

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I'll calculate these step-by-step. Would you like me to proceed with detailed calculations for each question now?

Here are 5 follow-up questions you might think about:
1. What mathematical rules can we use to simplify sums involving polynomials like in Soal 1?
2. What happens if the limits of the summation in Soal 2 change?
3. How do the values of \( x_i \) influence the results in Soal 3?
4. Could there be a general formula for summations like the one in Soal 4?
5. How do changes in the variables \( y_i \) affect the final sum in Soal 4?

**Tip**: When dealing with summations, break them down into individual terms before trying to simplify or calculate.

Soal 1: Hitunglah ∑_{n=1}^{5} (n^2 + 3n), Soal 2: Hitunglah ∑_{i=2}^{4} (5i - 3), Soal 3: Diketahui nilai x_1 = 4, x_2 = 2, x_3 = 1, x_4 = -1, Hitunglah ∑_{i=1}^{4} (5x_i + 4/x_i), Soal 4: Diketahui nilai x_1 = 3, x_2 = 4, x_3 = 1, y_1 = 4, y_2 = 2, y_3 = -1, Hitunglah ∑_{i=1}^{3} (x_i^2 + 2x_i)(3y_i - 1)^2

Solve summation problems like ∑_{n=1}^{5} (n^2 + 3n) and ∑_{i=1}^{3} (x_i^2 + 2x_i)(3y_i - 1)^2 using substitution and algebraic techniques. This guide helps students from grades 9-12 master series computations with step-by-step solutions.

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