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The image contains three math problems from *Latihan 2.3*, focusing on arithmetic and geometric sequences. Below are the details of the questions:

### 1. Find the sum of multiples of 4 between 10 and 100.
Guidance is provided to help solve the problem:
- First, write down the multiples of 4 between 10 and 100.
- The sequence starts with 12 and continues as 12, 16, 20, ..., up to 100.
- Use the arithmetic sequence formula for the \(n\)-th term and sum of terms:
  \[
  U_n = a + (n-1) \cdot b
  \]
  where \(a\) is the first term, \(b\) is the common difference (in this case, 4), and \(n\) is the number of terms.
  
### 2. Find the number of terms of a geometric series where the sum is 9,837.
- The formula for the sum of a geometric series is:
  \[
  S_n = \frac{a(r^n - 1)}{r - 1}
  \]
  where \(a\) is the first term, \(r\) is the common ratio, and \(n\) is the number of terms.
- From the question, it looks like you need to calculate \(n\) given \(S_n = 9,837\).

### 3. A geometric series is given:
\[
\frac{3}{2} + 3 + 6 + 12 + \dots + Y = \frac{762}{4}
\]
You need to find the value of \(Y\).

To solve this:
- Identify the common ratio \(r\).
- Use the sum formula for a geometric series to calculate \(n\), and then find \(Y\).

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Would you like detailed solutions for any of these problems?

Here are 5 related questions:
1. How do you calculate the sum of an arithmetic series?
2. What is the formula for the \(n\)-th term of an arithmetic progression?
3. How do you determine the common ratio in a geometric series?
4. What steps do you take to solve for \(n\) in a geometric progression?
5. What is the difference between an arithmetic and geometric progression?

**Tip:** Always identify the first term and the common difference/ratio when solving sequence problems.

1. Find the sum of multiples of 4 between 10 and 100.
2. Find the number of terms of a geometric series where the sum is 9,837.
3. Find the value of Y in the given geometric series: 3/2 + 3 + 6 + 12 + ... + Y = 762/4.

Solve the problem of finding the sum of multiples of 4 between 10 and 100, calculate the number of terms in a geometric series with a sum of 9,837, and find the value of Y in a geometric series. This page provides step-by-step solutions and relevant formulas for arithmetic and geometric sequences, suitable for students in Grades 9-10.

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