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.

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.

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.

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.

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: $\frac{1}{216}$.

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

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?

Tip:

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