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The image you uploaded appears to be a math problem sheet in Indonesian. The questions seem to focus on identifying patterns in sequences, calculating values based on series, and choosing the correct answers from multiple-choice options. Let's go through each question and solve them.

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### Question 1:
"Pola bilangan: 6, 12, 20, … adalah…"
This is asking for the continuation of the sequence.

Looking at the pattern:
- \( 12 - 6 = 6 \)
- \( 20 - 12 = 8 \)

The differences between consecutive terms increase by 2.

To continue the sequence:
- Next term: \( 20 + 10 = 30 \)
- Then: \( 30 + 12 = 42 \)

The answer is **30 and 42**.

### Question 2:
"Pola bilangan: 3, 5, 8, 13, 55, … adalah…"
This sequence seems to be increasing in a non-linear way.

Looking at the differences between consecutive terms:
- \( 5 - 3 = 2 \)
- \( 8 - 5 = 3 \)
- \( 13 - 8 = 5 \)
- \( 55 - 13 = 42 \)

The pattern is inconsistent, so there seems to be a misunderstanding or typo in the sequence. If the sequence followed a predictable pattern, I'd be able to provide the continuation.

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### Question 3:
"Niai * dan y dari pola bilangan 1, 3, 5, 7, 9, 11, p, q adalah…"

This sequence appears to increase by 2. Therefore:
- \( p = 13 \)
- \( q = 15 \)

The answer is **13 and 15**.

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### Question 4:
"Nilai x dari barisan bilangan 9, 16, 36, 49, 81, … adalah…"

This sequence involves squares of integers:
- \( 9 = 3^2 \)
- \( 16 = 4^2 \)
- \( 36 = 6^2 \)
- \( 49 = 7^2 \)
- \( 81 = 9^2 \)

The missing number seems to be \( 5^2 = 25 \).

Answer: **25 and 64**.

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### Question 5:
"Nilai x dari barisan bilangan \( \frac{1}{1}, \frac{1}{8}, \frac{1}{27}, \frac{1}{64}, \frac{1}{125}, x \) adalah…"

This sequence is the reciprocal of cube numbers:
- \( 1 = 1^3 \)
- \( 8 = 2^3 \)
- \( 27 = 3^3 \)
- \( 64 = 4^3 \)
- \( 125 = 5^3 \)

The next cube is \( 6^3 = 216 \), so the next term is \( \frac{1}{216} \).

Answer: **\( \frac{1}{216} \)**.

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Let me know if you'd like detailed explanations on any of these problems!

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### Related Questions:
1. What is the general formula for finding terms in an arithmetic progression?
2. How do you identify the next term in a geometric sequence?
3. Can all sequences be expressed as a function of \( n \)? Why or why not?
4. What is the difference between arithmetic and geometric progressions?
5. How can patterns in non-numeric sequences be analyzed?

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### Tip:
When dealing with sequences, always check for constant differences (arithmetic) or ratios (geometric) between terms.

Pola bilangan: 6, 12, 20, … adalah…
Pola bilangan: 3, 5, 8, 13, 55, … adalah…
Niai * dan y dari pola bilangan 1, 3, 5, 7, 9, 11, p, q adalah…
Nilai x dari barisan bilangan 9, 16, 36, 49, 81, … adalah…
Nilai x dari barisan bilangan 1/1, 1/8, 1/27, 1/64, 1/125, x adalah…

Learn how to solve number sequence problems like finding the next terms in arithmetic and geometric progressions. This includes identifying patterns, continuing sequences, and applying key formulas. Suitable for students in Grades 7-9.

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